Miembros del grupo

Director/es
LUENGO VELASCO, IGNACIO
MELLE HERNANDEZ, ALEJANDRO
Miembros
ARTAL BARTOLO, ENRIQUE MANUEL
CARMONA RUBER, JORGE
CASTELLANOS PEÑUELA, JULIO ANTONIO
COGOLLUDO AGUSTIN, JOSE IGNACIO
FERNANDEZ DE BOBADILLA DE OLAZABAL, JAVIER
GONZALEZ PEREZ, PEDRO DANIEL
ISAZA PEÑALOZA, PABLO SIMON
PE PEREIRA, MARIA

Proyectos (IP)

Título	Organismo	Referencia	Inicio	Fin
SINGULARIDADES, ARCOS, MAPPING CLASS GROUP E INTERACCIONES	Ministerio de Economía y Competitividad	MTM2017-89420-P	01/01/2018	31/12/2020
GEOMETRÍA, TOPOLOGÍA, ÁLGEBRA Y CRIPTOGRAFÍA EN SINGULARIDADES Y SUS APLICACIONES.	Ministerio de Economía y Competitividad	MTM2016-76868-C2-1-P	30/12/2016	29/12/2020
SINGULARIDADES Y SUS APLICACIONES A GEOMETRÍA, TOPOLOGÍA, ÁLGEBRA Y CRIPTOGRAFÍA	Ministerio de Economía y Competitividad	MTM2013-45710-C2-2-P	01/01/2014	31/12/2016
SINGUALRIDADES EN ÁLGEBRA, CRIPTOGRAFÍA Y TOPOLOGÍA.	Ministerio de Ciencia e Innovación	MTM2010-21740-C02-01	01/01/2011	31/12/2013

Publicaciones Google Scholar de 1980 a 2018

Título	Fuente	Fecha
On the $ b $-exponents of generic isolated plane curve singularities	arXiv preprint arXiv:1805.01166 , 2018	2018
The universal Euler characteristic of V-manifolds	arXiv preprint arXiv:1804.08385 , 2018	2018
Power structure over the Grothendieck ring of maps	Revista Matemática Complutense , 2018	2018
Grothendieck ring of varieties with finite groups actions	arXiv preprint arXiv:1706.00918 , 2017	2017
Yano's conjecture for 2-Puiseux pair irreducible plane curve singularities	Publ. RIMS Kyoto Univ. 53 (1), 211-239 , 2017	2017
DME: A PUBLIC KEY, SIGNATURE AND KEM SYSTEM BASED ON DOUBLE EXPONENTIATION WITH MATRIX EXPONENTS	preprint , 2017	2017
Special issue dedicated to Henry B. Laufer on the occasion of his 70th birthday: Part 2	Methods and Applications of Analysis 24 (2) , 2017	2017
Search for dark matter and supersymmetry in the vector boson fusion topology in proton-proton collisions at CMS	Journal of Physics: Conference Series 869 (1), 012047 , 2017	2017
Variations on inversion theorems for Newton-Puiseux series	Mathematische Annalen 368 (Issue 3–4), 1359–1397 , 2017	2017
On some conjectures about free and nearly free divisors	Singularities and computer algebra, 1-19 , 2017	2017
Bernstein polynomial of 2-Puiseux pairs irreducible plane curve singularities	Methods and Applications of Analysis, Special issue dedicated to Henry B … , 2017	2017
On some conjectures about free and nearly free divisors	Singularities and Computer Algebra, CONFERENCE IN HONOR OF GERT-MARTIN … , 2017	2017
Equivariant versions of higher order orbifold Euler characteristics	Moscow Mathematical Journal 16 (4) , 2016	2016
Yano's conjecture for 2-Puiseux pair irreducible plane curve singularities	arXiv preprint arXiv:1602.07248 , 2016	2016
Ultrametric spaces of branches on arborescent singularities	arXiv preprint arXiv:1605.02229 , 2016	2016
Bernstein polynomial of 2-Puiseux pairs irreducible plane curve singularities	arXiv preprint arXiv:1611.01091 , 2016	2016
Power structure over the Grothendieck ring of maps	Revista Matemática Complutense, 1-15 , 2016	2016
On equivariant versions of higher order orbifold Euler characteristics	arXiv preprint arXiv:1504.07467 , 2015	2015
RUS ENG JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PERSONAL OFFICE	????? 12, 30 , 2015	2015
On an equivariant version of the zeta function of a transformation	Arnold Mathematical Journal 1 (2), 127-140 , 2015	2015
Higher-order orbifold Euler characteristics for compact Lie group actions	Proceedings of the Royal Society of Edinburgh Section A: Mathematics 145 (6 … , 2015	2015
High-school algebra of the theory of dicritical divisors: Atypical fibers for special pencils and polynomials	Journal of Algebra and Its Applications 14 (09), 1540009 , 2015	2015
Higher order generalized Euler characteristics and generating series	Journal of Geometry and Physics 95, 137-143 , 2015	2015
High-school algebra of the theory of dicritical divisors: Atypical fibers for special pencils and polynomials	Journal of Algebra and Its Applications in the Special Issue in Honor of … , 2015	2015
DICRITICAL DIVISORS FROM TOPOLOGY		2015
Field generators in two variables and birational endomorphisms of 𝔸2	Journal of Algebra and Its Applications 14 (09), 1540005 , 2015	2015
Linear systems associated to unicuspidal rational plane curves, dedicated to Antonio Campillo and Ignacio Luengo on their 60th birthdays	Osaka Journal of Mathematics 51 (2), 481-513 , 2014	2014
Motivic Milnor fiber of a quasi-ordinary hypersurface	Journal für die reine und angewandte Mathematik (Crelles Journal) 2014 (687 … , 2014	2014
Toric geometry and the Semple–Nash modification	Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie … , 2014	2014
On the pre-λ-ring structure on the Grothendieck ring of stacks and the power structures over it	Bulletin of the London Mathematical Society 45 (3), 520-528 , 2013	2013
Spiders and multiplicity sequences	Proceedings of the American Mathematical Society 141 (12), 4071-4085 , 2013	2013
Quasi-ordinary singularities and Newton trees	Moscow Mathematical Journal 13 (3), 365-398 , 2013	2013
Quasi-ordinary singularities and Newton trees	arXiv preprint arXiv:1203.1704 , 2012	2012
John Willard Milnor, Medalla Fields 1962	Gaceta de la Real Sociedad Matematica Española 15 (3), 575-587 , 2012	2012
Zeta functions in algebra and geometry, Papers from the 2nd International Workshop held at the Universitat de les Illes Balears,	Campillo, Antonio; Cardona, Gabriel; Melle-Hernández, Alejandro; Veys, Wim … , 2012	2012
Motivic Poincaré series, toric singularities and logarithmic jacobian ideals	Journal of Algebraic Geometry 21 (3), 495-529 , 2012	2012
Linear systems of rational curves on rational surfaces	Valdimir I. Arnold's Memorial in Moscow Mathematical Journal 12 (2), 261-268 , 2012	2012
Log canonical thresholds of quasi-ordinary hypersurface singularities	Proceedings of the American Mathematical Society 140 (12), 4075-4083 , 2012	2012
On piecewise isomorphism of some varieties	Azerbaijan Journal of Mathematics 1 (2), 1-7 , 2011	2011
ν-QUASI-ORDINARY POWER SERIES: FACTORISATION, NEWTON TREES AND RESULTANTS	Topology of algebraic varieties and singularities, 321-343 , 2011	2011
On ν-quasi-ordinary power series: factorisation, Newton trees and resultants	Topology of algebraic varieties and singularities in honor of Anatoly … , 2011	2011
On ν-quasi-ordinary power series: factorization, Newton trees and resultants	Topology of Algebraic Varieties and Singularities: Conference in Honor of … , 2011	2011
On piecewise isomorphism of some varieties	arXiv preprint arXiv:1103.1562 , 2011	2011
Algebraic theory of dicritical divisors	American journal of mathematics, 1713-1732 , 2011	2011
Arithmetic Motivic Poincar\'e series of toric varieties	arXiv preprint arXiv:1011.3696 , 2010	2010
Milnor Number of Weighted-Lê–Yomdin Singularities	International Mathematics Research Notices 2010 (22), 4301-4318 , 2010	2010
On a conjecture by A. Durfee	Real and complex singularities 380, 1-16 , 2010	2010
Monodromy Jordan blocks, b-functions and poles of Zeta functions for germs of plane curves	Journal of Algebra 324, 1364--1382 , 2010	2010
Approximate roots, toric resolutions and deformations of a plane branch	Journal of the Mathematical Society of Japan 62 (3), 975-1004 , 2010	2010
Función zeta motívica de singularidades quasiordinarias irreducibles	Universidad Complutense de Madrid , 2010	2010
On generating series of classes of equivariant Hilbert schemes of fat points	Moscow Mathematical Journal 10, 593-602 , 2010	2010
Geometric motivic Poincaré series of quasi-ordinary singularities	Mathematical Proceedings of the Cambridge Philosophical Society 149, 49-74 , 2010	2010
Milnor number of weighted-Lê–Yomdin singularities	International Mathematics Research Notices 2010 (22), 4301-4318 , 2010	2010
On the pre-lambda ring structure on the Grothendieck ring of stacks and the power structures over it	arXiv preprint arXiv:1008.5063 , 2010	2010
On maximal poles of zeta functions, roots of b-functions and monodromy Jordan blocks	Journal of Topology 2, 517-526 , 2009	2009
Recent Trends in Cryptography: UIMP-RSME Santaló Summer School, July 11-15, 2005, Universidad Internacional Menéndez Pelayo, Santander, Spain	American Mathematical Soc. , 2009	2009
Generating series of classes of Hilbert schemes of points on orbifolds	Proceedings of the Steklov Institute of Mathematics 267 (1), 125-130 , 2009	2009
Quasi-ordinary singularities, essential divisors and Poincaré series	Journal of the London Mathematical Society 79 (3), 780-802 , 2009	2009
On generating series of classes of equivariant Hilbert schemes of fat points	arXiv preprint arXiv:0905.1779 , 2009	2009
An equivariant version of the monodromy zeta function	arXiv preprint arXiv:0803.3708 , 2008	2008
On the log-canonical threshold for germs of plane curves	Singularities I, 1-14 , 2008	2008
An equivariant version of the monodromy zeta function	Geometry, Topology, and Mathematical Physics: S. P. Novikov's Seminar: 2006 … , 2008	2008
On the power structure over the Grothendieck ring of varieties and its applications	Proceedings of the Steklov Institute of Mathematics 258 (1), 53 , 2007	2007
Classification of rational unicuspidal projective curves whose singularities have one Puiseux pair	Real and complex singularities, 31-45 , 2007	2007
On the power structure over the Grothendieck ring of varieties and its applications	Proceedings of the Steklov Institute of Mathematics 258 (1), 53-64 , 2007	2007
Bijectiveness of the Nash map for quasi-ordinary hypersurface singularities	International Mathematics Research Notices 2007, rnm076 , 2007	2007
On rational cuspidal plane curves, open surfaces and local singularities	Singularity theory, Dedicated to Jean-Paul Brasselet on His 60th Birthday … , 2007	2007
On rational cuspidal plane curves, open surfaces and local singularities	Singularity Theory: Dedicated to Jean-Paul Brasselet on His 60th Birthday … , 2007	2007
Matemáticas y Criptografía	imdea-matemáticas , 2007	2007
Superisolated surface singularities	Singularities and computer algebra 324, 13 , 2006	2006
Classification of rational unicuspidal projective curves whose singularities have one Puiseux pair	Real and complex singularities Sao Carlos Workshop in Marseille, 2004, 31-45 , 2006	2006
On rational cuspidal projective plane curves	Proceedings of the London Mathematical Society 92 (1), 99-138 , 2006	2006
List of Participants xv.	Managing Editor: Professor NJ Hitchin, Mathematical Institute, University of … , 2006	2006
Power structure over the Grothendieck ring of varieties and generating series of Hilbert schemes of points	Michigan Math. J. 54 (2), 353–359 , 2006	2006
On rational cuspidal projective plane curves	Proceedings of the London Mathematical Society 92 (1), 99-138 , 2006	2006
Superisolated Surface Singularities	Singularities and computer algebra 324, 11--39 , 2006	2006
Integration over a space of non-parametrized arcs, and motivic analogues of the monodromy zeta function	Proceedings of the Steklov Institute of Mathematics 252 (1), 63-73 , 2006	2006
Nodal degenerations of plane curves and Galois covers	Geometriae Dedicata 121 (1), 129-142 , 2006	2006
Integration over spaces of nonparametrized arcs and motivic versions of the monodromy zeta function	Proceedings of the Steklov Institute of Mathematics 252 (1), 63-73 , 2006	2006
Lě's conjecture for cyclic covers	Singularités franco-japonaises, Sémin. Congr. 10, 163-190 , 2005	2005
Quasiordinary singularities and their zeta functions	Memoirs of the Amer. Math. Soc 178 , 2005	2005
Links and analytic invariants of superisolated singularities	J. Algebraic Geom. 14 (3), 543–565 , 2005	2005
Quasi-ordinary power series and their zeta functions	American Mathematical Soc. , 2005	2005
Decomposition in bunches of the critical locus of a quasi-ordinary map	Compositio Mathematica 141 (02), 461-486 , 2005	2005
Quasi-Ordinary power series and their Zeta functions	Memoirs of the American Mathematical Society 178 (841), VI-85 , 2005	2005
Superisolated Surface Singularities	arXiv preprint math/0509283 , 2005	2005
Power structure over the Grothendieck ring of varieties and generating series of Hilbert schemes of points	arXiv preprint math/0407204 , 2004	2004
Algebraic Curves over $$\mathbb {F} _3 $$ with Many Rational Points	Algebra, arithmetic and geometry with applications, 619-626 , 2004	2004
A power structure over the Grothendieck ring of varieties	Mathematical Research Letters 11 (1), 49-58 , 2004	2004
Analytical invariants of quasi-ordinary hypersurface singularities associated to divisorial valuations	Kodai Mathematical Journal 27 (2), 164-173 , 2004	2004
Topological and arithmetical properties of rational plane curves	Homenaje al Prof. Enrique Outerelo., 223-242 , 2004	2004
A power structure over the Grothendieck ring of varieties	Mathematical Research Letters 11 (1), 49-57 , 2004	2004
Árpád Bényi and Rodolfo H. Torres	Mathematical Research Letters 11 (1) , 2004	2004
Links and analytic invariants of superisolated singularities	arXiv preprint math/0312416 , 2003	2003
Quasi-ordinary power series and their zeta functions	arXiv preprint math/0306249 , 2003	2003
Quasi-ordinary power series and their zeta functions	Pre-publicaciones del Seminario Matemático" García de Galdeano", 1-74 , 2003	2003
Toric embedded resolutions of quasi-ordinary hypersurface singularities [Résolutions toriques plongées des singularités quasi-ordinaires d'hypersurface]	Annales de l'institut Fourier 53 (6), 1819-1881 , 2003	2003
The zeta-function of a quasi-ordinary singularity II	Contemporary Mathematics 324, 109-122 , 2003	2003
Deformations of Functions Without Real Critical Points	Communications in Algebra 31 (9), 4255-4266 , 2003	2003
The semigroup of a quasi-ordinary hypersurface	Journal of the Institute of Mathematics of Jussieu 2 (03), 383-399 , 2003	2003
Étude des singularités quasi-ordinaires d'hypersurfaces au moyen de la géométrie torique	Université de Paris 7 , 2002	2002
An exponential function on the set of varieties	arXiv preprint math/0206279 , 2002	2002
Monodromy conjecture for some surface singularities	Annales Scientifiques de l’Ecole Normale Supérieure 35 (4), 605-640 , 2002	2002
The Denef–Loeser zeta function is not a topological invariant	Journal of the London Mathematical Society 65 (1), 45-54 , 2002	2002
The Denef–Loeser zeta function is not a topological invariant	Journal of the London Mathematical Society 65 (1), 45-54 , 2002	2002
Monodromy conjecture for some surface singularities	Annales Scientifiques de l’Ecole Normale Supérieure 35 (4), 605-640 , 2002	2002
Embedded resolutions of non necessarily normal affine toric varieties	Comptes Rendus Mathematique 334 (5), 379-382 , 2002	2002
Bifurcations and topology of meromorphic germs	New Developments in Singularity Theory, 279-304 , 2001	2001
Partial embedded resolution of non necessarily normal toric varieties	EACA 2001: 7 Encuentro de álgebra computacional y aplicaciones: del 12 al 14 … , 2001	2001
Una demostración constructiva de un homeomorfismo entre P3 y SO (3)	Gaceta de la Real Sociedad Matemática Española 4 (2), 366-374 , 2001	2001
Computing the Genus of a Class of Curves	International Symposium on Applied Algebra, Algebraic Algorithms, and Error … , 2001	2001
Pencils of curves on smooth surfaces	Proceedings of the London Mathematical Society 83 (02), 257-278 , 2001	2001
Bifurcations and topology of meromorphic germs	New Developments in Singularity Theory, Isaac Newton Institute in Cambridge … , 2001	2001
MONODROMY CONJECTURE FOR SOME SURFACE SINGULARITIES		2000
On the topology of a generic fibre of a polynomial function	Communications in Algebra 28 (4), 1767-1787 , 2000	2000
Topological Zeta Function is Not a Topological Invariant	Universidad de Zaragoza. Seminario Matematico Garcia de Galdeano , 2000	2000
Topology of meromorphic germs and its applications	ST PETERSBURG MATHEMATICAL JOURNAL C/C OF ALGEBRA I ANALIZ 11 (5), 775-780 , 2000	2000
Milnor numbers for surface singularities	Israel Journal of Mathematics 115 (1), 29-50 , 2000	2000
Milnor number at infinity, topology and Newton boundary of a polynomial function	Mathematische Zeitschrift 233 (4), 679-696 , 2000	2000
Fundamental group of plane curves and related invariants	Contribuciones matemáticas: libro homenaje al profesor D. Joaquín Arregui … , 2000	2000
Quasi-ordinary singularities via toric geometry	Tesis, Universidad de la Laguna, Tenerife, España , 2000	2000
On a conjecture of W. Veys	Mathematische Annalen 317 (2), 325-327 , 2000	2000
Codes on Drinfeld modular curves	Coding Theory, Cryptography and Related Areas, 175-183 , 2000	2000
On the topology of a generic fibre of a polynomial function	Communications in Algebra 28 (4), 1767-1787 , 2000	2000
Fundamental group of plane curves and related invariants	Libro-homenaje Prof. Joaquin Arregui, 77-104 , 2000	2000
On polar invariants of hypersurface singularities	ANNALES-FACULTE DES SCIENCES TOULOUSE MATHEMATIQUES 9 (4), 671-688 , 2000	2000
Milnor number at infinity, topology and Newton boundary of a polynomial function	Mathematische Zeitschrift 233 (4), 679-696 , 2000	2000
Singularités quasi-ordinaires toriques et polyedre de Newton du discriminant	Canadian Journal of Mathematics 52 (2), 348-368 , 2000	2000
On the topology of germs of meromorphic functions and applications	arXiv preprint math/9905127 , 1999	1999
Euler characteristic of the Milnor fibre of plane singularities	Proceedings of the American Mathematical Society 127 (9), 2653-2655 , 1999	1999
A Newton-Puiseux algorithm for the ring C {X 1,..., X d}[Y]	ACM SIGSAM Bulletin 33 (3), 16 , 1999	1999
On the topology of germs of meromorphic functions and its applications	Algebra i Analiz 11 (5), 92-99 , 1999	1999
On the topology of germs of meromorphic functions	Firat Üniversitesi Fen ve Müh. Bilimleri Dergisi (Journal of Science and … , 1999	1999
Zeta functions of germs of meromorphic functions, and the Newton diagram	Funktsional. Anal. i Prilozhen 32 (2), 26-35 , 1998	1998
On atypical values and local monodromies of meromorphic functions	Solitons, Geometry and Topology: on the Crossroads: Collection of Papers … , 1998	1998
Zeta functions for germs of meromorphic functions, and Newton diagrams	Functional Analysis and Its Applications 32 (2), 93-99 , 1998	1998
On atypical values and local monodromies of meromorphic functions	arXiv preprint math/9804071 , 1998	1998
On the zeta-function of a polynomial at infinity	arXiv preprint math/9801093 , 1998	1998
Zeta functions for germs of meromorphic functions, and Newton diagrams	Functional Analysis and its applications 32 (2), 93-99 , 1998	1998
Aplicación de MAPLE a la Investigación	Gaceta de la Real Sociedad Matemática Española 1 (1), 125-128 , 1998	1998
On the topology of a generic fibre of a polynomial map	Preprint , 1997	1997
Partial resolutions and the zeta-function of a singularity	Commentarii Mathematici Helvetici 72 (2), 244-256 , 1997	1997
Topología de singularidades de hipersuperficies: número de Milnor e invariantes polares	Universidad Complutense de Madrid, Vicerrectorado de Extensión Universitaria , 1996	1996
A formula for the Milnor number	Comptes Rendus de l'Academie des Sciences-Serie I-Mathematique 321 (11 … , 1995	1995
A formula for the Milnor number	Comptes Rendus de l'Academie des Sciences-Serie I-Mathematique 321 (11 … , 1995	1995
On polynomials whose fibers are irreducible with no critical points	Mathematische Annalen 299 (1), 477-490 , 1994	1994
COURS DE L’INSTITUT FOURIER		1993
Germs of holomorphic vector fields in C 3 without a separatrix	Inventiones mathematicae 109 (1), 211-219 , 1992	1992
Germs of holomorphic vector fields in C3 without a separatrix.	Inventiones mathematicae 109 (2), 211-220 , 1992	1992
Normal forms and moduli spaces of curve singularities with semigroup< 2p, 2q, 2pq+ d	Algebraic Geometry, 247-264 , 1990	1990
An algorithm on quasi-ordinary polynomials	Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, 59-73 , 1989	1989
On the existence of complete families of projective plane curves, which are obstructed	Journal of the London Mathematical Society 2 (1), 33-43 , 1987	1987
The μ-constant stratum is not smooth	Inventiones mathematicae 90 (1), 139-152 , 1987	1987
An example concerning a question of Zariski	Bull. Soc. Math. France 113 (4), 379-386 , 1985	1985
A couterexample to a conjecture of Zariski	Mathematische Annalen 267 (4), 487-494 , 1984	1984
On the structure of embedded algebroid surfaces	Proceedings of Symposia in Pure Mathematics 40, 185-192 , 1983	1983
A new proof of the Jung—Abhyankar theorem	Journal of Algebra 85 (2), 399-409 , 1983	1983
Sobre la estructura de las singularidades de superficies algebroides sumergidas	Monografías de Matemática del Inst." Jorge Juan" del CSIC, Madrid , 1980	1980

No se dispone de publicaciones Scopus en el rango de fechas seleccionado