English

Combinatorial Aspects of Classical Resolution of Singularities

Algebraic Geometry 2018-08-20 v2

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.

Keywords

Cite

@article{arxiv.1711.08258,
  title  = {Combinatorial Aspects of Classical Resolution of Singularities},
  author = {Beatriz Molina-Samper},
  journal= {arXiv preprint arXiv:1711.08258},
  year   = {2018}
}