![Foto de PEDRO DANIEL](/img/nophoto.png)
PEDRO DANIEL
GONZÁLEZ PÉREZ
Profesor titular de universidad
Publications (26) PEDRO DANIEL GONZÁLEZ PÉREZ publications
2024
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Multiplier ideals of plane curve singularities via Newton polygons
Communications in Algebra, Vol. 52, Núm. 3, pp. 1142-1162
2023
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Resolving singularities of curves with one toric morphism
Mathematische Annalen, Vol. 387, Núm. 3-4, pp. 1853-1902
2020
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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
2019
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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
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Ultrametric properties for valuation spaces of normal surface singularities
Transactions of the American Mathematical Society, Vol. 372, Núm. 12, pp. 8423-8475
2018
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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
2017
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Variations on inversion theorems for Newton–Puiseux series
Mathematische Annalen, Vol. 368, Núm. 3-4, pp. 1359-1397
2014
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Motivic Milnor fiber of a quasi-ordinary hypersurface
Journal fur die Reine und Angewandte Mathematik, pp. 159-205
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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
2013
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Arithmetic motivic Poincaré series of toric varieties
Algebra and Number Theory, Vol. 7, Núm. 2, pp. 405-430
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Erratum: Approximate roots, toric resolutions and deformations of a plane branch (Journal of The Mathematical Society of Japan (2010) 62 (975-1004))
Journal of the Mathematical Society of Japan
2012
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Log canonical thresholds of quasi-ordinary hypersurface singularities
Proceedings of the American Mathematical Society, Vol. 140, Núm. 12, pp. 4075-4083
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Motivic poincaré series, toric singularities and logarithmic Jacobian ideals
Journal of Algebraic Geometry, Vol. 21, Núm. 3, pp. 495-529
2010
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Approximate roots, toric resolutions and deformations of a plane branch
Journal of the Mathematical Society of Japan, Vol. 62, Núm. 3, pp. 975-1004
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Geometric motivic Poincaré series of quasi-ordinary singularities
Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 149, Núm. 1, pp. 49-74
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Multi-Harnack smoothings of real plane branches
Annales Scientifiques de l'Ecole Normale Superieure, Vol. 43, Núm. 1, pp. 143-183
2009
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Quasi-ordinary singularities, essential divisors and Poincaŕe series
Journal of the London Mathematical Society, Vol. 79, Núm. 3, pp. 780-802
2007
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Bijectiveness of the nash map for quasi-ordinary hypersurface singularities
International Mathematics Research Notices, Vol. 2007
2005
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Decomposition in bunches of the critical locus of a quasi-ordinary map
Compositio Mathematica, Vol. 141, Núm. 2, pp. 461-486
2004
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Analytical invariants of quasi-ordinary hypersurface singularities associated to divisorial valuations
Kodai Mathematical Journal, Vol. 27, Núm. 2, pp. 164-173