When is the self-intersection of a subvariety a fibration?
When is the self-intersection of a subvariety a fibration?
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亚品种的自交何时发生纤维化？
DOI：
10.1016/j.aim.2012.05.014
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
Andrei Căldăraru
中科院分区：
文献类型：
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作者：
D. Arinkin;Andrei Căldăraru
给出了光滑子方案内部光滑子方案的自交是该子方案上的纤振的一个充分必要条件。因此，我们推导出一个广义的HKR同构。我们还研究了我们的结果与同伦理论中的路径空间的关系，代数几何中的Buchweitz-Flenner形式，并与李论和辛几何中的类似结果进行了比较。
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.