English

Notes on the inductive algorithm of resolution of singularities by S. Encinas and O. Villamayor

Algebraic Geometry 2007-05-23 v2

Abstract

In this revised version, the mistake of the author confusing the weak transform and strict transform, pointed out by E. Bierstone, is corrected. It gives a self-contained proof of (embedded) resolution of singularities over a field of characteristic zero following the inductive algorithm of Encinas and Villamayor. A chapter explaining the background motivation for the invariants used (based upon a lecture by Villamayor) and another containing some examples demonstrating the subtle points are added.

Keywords

Cite

@article{arxiv.math/0103120,
  title  = {Notes on the inductive algorithm of resolution of singularities by S. Encinas and O. Villamayor},
  author = {Kenji Matsuki},
  journal= {arXiv preprint arXiv:math/0103120},
  year   = {2007}
}

Comments

128 pages, a revised version