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

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

2001-03-19

arxiv.org/abs/math/0103120v2

Mathematics

Algebraic Geometry

128 pages, a revised version

Scientific paper

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.

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