Publicaciones de Pedro Daniel González Pérez

  1. Log canonical thresholds of quasi-ordinary hypersurface singularities , (con Nero Budur y Manuel González Villa), prepublicación.

  2. Motivic Milnor fiber of a quasi-ordinary hypersurface , (con Manuel González Villa), prepublicación.

  3. Arithmetic Motivic Poincaré series of toric varieties , (con Helena Cobo), prepublicación.

  4. Toric geometry and the Semple-Nash modification , (con Bernard Teissier), prepublicación.

  5. Logarithmic jacobian ideals, quasi-ordinary hypersurfaces and equisingularity, prepublicación.

  6. Motivic Poincaré series, toric singularities and logarithmic jacobian ideals , (con Helena Cobo Pablos), aparecerá en Journal of Algebraic Geometry.

  7. 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.

  8. 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.

  9. 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).

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

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

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

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

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

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

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

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

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

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

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

  21. 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

  22. 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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