Unipotent nearby cycles and nearby cycles over general bases

IF 0.4 Q4 MATHEMATICS
Andrew Salmon
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引用次数: 1

Abstract

We show that under some conditions, two constructions of nearby cycles over general bases coincide. More specifically, we show that under the assumption of $\Psi$-factorizability, the constructions of unipotent nearby cycles over an affine space can be described using the theory of nearby cycles over general bases via the vanishing topos. In particular, this applies to nearby cycles of Satake sheaves on Beilinson-Drinfeld Grassmannians with parahoric ramification.
一般基上的单能邻近循环和邻近循环
我们证明,在某些条件下,一般基上邻近循环的两种构造是重合的。更具体地说,我们证明了在$\Psi$可因子性的假设下,仿射空间上单能邻近循环的构造可以通过消失拓扑用一般基上邻近循环的理论来描述。特别是,这适用于贝林森-德林菲尔德格拉斯曼上具有准斜率的萨塔克剪切的邻近循环。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
0.90
自引率
0.00%
发文量
28
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