博戈莫洛夫-潘捷夫决议,一个临时帐户
The Bogomolov--Pantev resolution, an expository account
摘要:
这是一份文件的基础上,在沃里克讨论会代数几何在1996年。F.给出的奇点的奇点的分解。Bogomolov和A. Pantev(arXiv:math.AG/9603019)以一种独立的和“基本的”方式呈现。主要结果是:给定一个簇和一个真闭子簇,存在一个从光滑簇到给定簇的双有理态射,使得给定闭子簇的逆像和例外轨迹是具有简单正规交叉的因子的子因子.
英文摘要:
This is a paper based on a talk given at the Warwick Symposium on Algebraic Geometry in 1996. The resolution of singularities given by F. Bogomolov and A. Pantev (arXiv:math.AG/9603019) is presented in a self-contained and "elementary" manner. The main result is that given a variety and a proper closed subvariety, there is a projective birational morphism from a smooth variety to the given variety so that the inverse image of the given closed subvariety and the exceptional locus are sub-divisors of a divisor with simple normal crossings.
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