正特征下三维簇的奇点消解
代数几何
2007-11-14 v4 交换代数
摘要
本文给出正特征(>5)下三维簇奇点消解的一个简洁而完整的证明。该定理的第一个证明由 Abhyankar 于 1966 年给出。我们证明中的消解态射在非奇异轨迹上是同构。
引用
@article{arxiv.math/0606530,
title = {Resolution of Singularities for 3-folds in positive characteristic},
author = {Steven Dale Cutkosky},
journal= {arXiv preprint arXiv:math/0606530},
year = {2007}
}
备注
55 pages. In this final version, which is to appear in the American Journal of Mathematics, complete details of the proof of embedded resolution of surfaces have been added in. Two sections have been added after the introduction, giving an outline of the proof, and discussing related results and extensions of the material proved in this paper