When is the self-intersection of a subvariety a fibration?

被引：23
|
作者：
Arinkin, Dima [2 ]
Caldararu, Andrei [1 ]
机构：
[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA
[2] Univ N Carolina, Dept Math, Chapel Hill, NC 27599 USA
来源：
ADVANCES IN MATHEMATICS | 2012年 / 231卷 / 02期
基金：
美国国家科学基金会;
关键词：
HKR isomorphism; Derived intersection theory; Derived algebraic geometry; HOCHSCHILD; DECOMPOSITION;
D O I：
10.1016/j.aim.2012.05.014
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We provide a necessary and sufficient condition for the derived self-intersection of a smooth subscheme inside a smooth scheme to be a fibration over the subscheme. As a consequence we deduce a generalized HKR isomorphism. We also investigate the relationship of our result to path spaces in homotopy theory, Buchweitz-Flenner formality in algebraic geometry, and draw parallels with similar results in Lie theory and symplectic geometry. (C) 2012 Published by Elsevier Inc.
引用
收藏
页码：815 / 842
页数：28
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