Publicaciones de Pedro Daniel González Pérez

  1. Ultrametric spaces of branches on arborescent singularities , con Evelia García Barroso y Patrick Popescu-Pampu, preprint

  2. Variations on inversion theorems for Newton-Puiseux series , con Evelia García Barroso y Patrick Popescu-Pampu, Math. Ann. (2016). doi:10.1007/s00208-016-1503-1

  3. Toric geometry and the Semple-Nash modification , con Bernard Teissier, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales, Serie A Matemáticas, nº108, pag. 1-48, 2014. doi: 10.1007/s13398-012-0096-0.

  4. Arithmetic Motivic Poincaré series of toric varieties , con Helena Cobo, Algebra and Number Theory, Vol 7, no. 2, 405- 430, 2013.

  5. Motivic Milnor fiber of a quasi-ordinary hypersurface , con Manuel González Villa, J. Reine Angew. Math. nº 68, pag. 159?205, 2014. DOI: 10.1515/crelle-2012-0049

  6. Log canonical thresholds of quasi-ordinary hypersurface singularities , con Nero Budur y Manuel González Villa, Proc. Amer. Math. Soc., Vol. 140, Nº 12, pag. 4075-4083, 2012.

  7. Motivic Poincaré series, toric singularities and logarithmic jacobian ideals , con Helena Cobo Pablos, Journal of Algebraic Geometry, Vol. 21, no. 3, 495-529, 2012.

  8. Geometric motivic Poincaré series of quasi-ordinary singularities, con Helena Cobo Pablos, Math. Proc. Camb. Phil. Soc., Vol 149, Nº 01, pp. 49-74, 2010.

  9. Multi-Harnack smoothings of real plane branches , con Jean-Jacques Risler, Annales Scientifiques de l'École Normale Supérieure, Vol 43, Nº1, pag. 143-183, 2010.

  10. Approximate Roots, Toric Resolutions and Deformations of a Plane Branch Journal Math. Soc. Japan. Vol 62, Nº3, pag. 975-1004, 2010 (includes a correction of the published version of the paper).

  11. Quasi-ordinary singularities, essential divisors and Poincaré series , con Fernando Hernando, Journal of the London Mathematical Society, 2009; doi: 10.1112/jlms/jdp014

  12. Bijectiveness of the Nash map for quasi-ordinary hypersurface singularities International Math. Research Notices, Nº19, Art.ID rnm076, 13 pag, 2007.

  13. Arcs and jets on toric singularities and quasi-ordinary singularities con Helena Cobo Pablos, Abstracts from the workshop held January 29--February 4, 2006. Convex and algebraic geometry. Oberwolfach Reports. Vol. 1, pag 302--304 (2006).

  14. Decomposition in bunches of the critical locus of a quasi-ordinary map, con Evelia. García Barroso, Compositio Math. 141 (2005) 461-486.

  15. Analytical invariants of quasi-ordinary hypersurface singularities associated to divisorial valuations, con Gerardo Gonzalez-Sprinberg, Kodai Mathematical Journal, 27, Nº 2, (2004), 164-173.

  16. Toric embedded resolutions of quasi-ordinary hypersurface singularities Annales de l'Inst. Fourier (Grenoble), 56 (6), 2003, 1819-1881.

  17. The semigroup of a quasi-ordinary hypersurface Journal de l'Institut de Mathématiques de Jussieu, 2(3), (2003) 383-399.

  18. The zeta function of a quasi-ordinary singularity II, con Andras Némethi y John Lee McEwan, Contemporary Mathematics, Vol 324, 109-122, 2003

  19. Embedded resolution of non necessarily normal afine toric varieties, con Bernard Teissier, C.R. Acad. Sci. Paris Sec. 1 Mathématiques, 334, (2002), 379-382

  20. Una demostración constructiva de la existencia de un homeomorfismo entre P(3) y SO(3), con Jose María Almira, Gac. R. Soc. Mat. Esp. 4 (2), (2001), 366-374

  21. Singularités quasi-ordinaires toriques et polyèdre de Newton du discriminant Canadian Journal of Mathematics, 52 (2), (2000), 348-368.

  22. Quasi-ordinary singularities and toric geometry, ISBN 84-688-3064-X, Tesis Doctorales Curso 1999/2000, Ciencias y Tecnologías, Colección Soportes Audiovisuales e Informáticos, Servicio de Publicaciones de la Universidad de La Laguna. ISBN: 84-7756-522-X (Edición en CD), 2002

  23. Étude des singularités quasi-ordinaires d'hypersurface au moyen de la géométrie torique, Thèse de Doctorat de l'Université de Paris 7, Spécialité Mathématiques, soutenu le 15/11/2002.
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