摘要翻译:
对于一个方案X,我们在X上构造了一个复群C,使得对于X的每一个拟紧开子集U,C(U)与方案U的Hochschild复群拟同构。由于C在拟紧开上取截面是无环的,所以当X是拟紧的时,我们得到了Hochschild上同调的一个局部到全局谱序列。
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英文标题:
《A sheaf of Hochschild complexes on quasi-compact opens》
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作者:
Wendy Lowen
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最新提交年份:
2007
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分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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英文摘要:
For a scheme X, we construct a sheaf C of complexes on X such that for every quasi-compact open subset U of X, C(U) is quasi-isomorphic to the Hochschild complex of the scheme U. Since C is moreover acyclic for taking sections on quasi-compact opens, we obtain a local to global spectral sequence for Hochschild cohomology if X is quasi-compact.
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PDF链接:
https://arxiv.org/pdf/0707.2605