Publications (26) PEDRO DANIEL GONZÁLEZ PÉREZ publications


  1. Multiplier ideals of plane curve singularities via Newton polygons

    Communications in Algebra, Vol. 52, Núm. 3, pp. 1142-1162


  1. Resolving singularities of curves with one toric morphism

    Mathematische Annalen, Vol. 387, Núm. 3-4, pp. 1853-1902


  1. The Combinatorics of Plane Curve Singularities: How Newton Polygons Blossom into Lotuses

    Handbook of Geometry and Topology of Singularities I (Springer International Publishing), pp. 1-150


  1. The valuative tree is the projective limit of Eggers-Wall trees

    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, Vol. 113, Núm. 4, pp. 4051-4105

  2. Ultrametric properties for valuation spaces of normal surface singularities

    Transactions of the American Mathematical Society, Vol. 372, Núm. 12, pp. 8423-8475


  1. Ultrametric spaces of branches on arborescent singularities

    Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics: Festschrift for Antonio Campillo on the Occasion of his 65th Birthday (Springer International Publishing), pp. 55-106


  1. Variations on inversion theorems for Newton–Puiseux series

    Mathematische Annalen, Vol. 368, Núm. 3-4, pp. 1359-1397


  1. Motivic Milnor fiber of a quasi-ordinary hypersurface

    Journal fur die Reine und Angewandte Mathematik, pp. 159-205

  2. Toric geometry and the Semple-Nash modification

    Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, Vol. 108, Núm. 1, pp. 1-48


  1. Log canonical thresholds of quasi-ordinary hypersurface singularities

    Proceedings of the American Mathematical Society, Vol. 140, Núm. 12, pp. 4075-4083

  2. Motivic poincaré series, toric singularities and logarithmic Jacobian ideals

    Journal of Algebraic Geometry, Vol. 21, Núm. 3, pp. 495-529


  1. Approximate roots, toric resolutions and deformations of a plane branch

    Journal of the Mathematical Society of Japan, Vol. 62, Núm. 3, pp. 975-1004

  2. Geometric motivic Poincaré series of quasi-ordinary singularities

    Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 149, Núm. 1, pp. 49-74

  3. Multi-Harnack smoothings of real plane branches

    Annales Scientifiques de l'Ecole Normale Superieure, Vol. 43, Núm. 1, pp. 143-183


  1. Quasi-ordinary singularities, essential divisors and Poincaŕe series

    Journal of the London Mathematical Society, Vol. 79, Núm. 3, pp. 780-802


  1. Bijectiveness of the nash map for quasi-ordinary hypersurface singularities

    International Mathematics Research Notices, Vol. 2007


  1. Decomposition in bunches of the critical locus of a quasi-ordinary map

    Compositio Mathematica, Vol. 141, Núm. 2, pp. 461-486