Combinatorial Aspects of Classical Resolution of Singularities

2017/11/22 by Beatriz Molina-Samper, Molina-Samper, Beatriz · 1 citation
Mathematics · #Commutative Algebra and Its Applications #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.1711.08258

Abstract

We describe combinatorial aspects of classical resolution of singularities that are free of characteristic and can be applied to singular foliations and vector fields as well as to functions and varieties. In particular, we give a combinatorial version of Hironaka's maximal contact theory in terms of characteristic polyhedra systems and we show the global existence of maximal contact in this context.

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