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怪态诺里动机上的动机邻近函子

Motivic nearby functors on perverse Nori motives

Khoa Bang Pham

arXiv 2608.17412首次发表:更新:

AI 中文总结

本文证明若干候选动机邻近函子在怪态诺里动机上一致,借助六函子体系构造典范函子并推导Kontsevich-Soibelman动机积分恒等式,还证明几何来源怪态层的Beilinson等价版本。

AI 中文摘要

本文中,我们证明了若干候选动机(幂幺)邻近函子在怪态诺里动机上是一致的。特别地,通过通用阿贝尔分解定义的典范函子可借助六函子体系表达,并在怪态诺里动机上给出单值序列。随后我们推导出适用于怪态诺里动机的Kontsevich-Soibelman动机积分恒等式。附录中,我们还证明了几何来源怪态层的Beilinson等价的一个版本,该结果在全文中被反复使用。

英文摘要

In this article, we show that several candidate motivic (unipotent) nearby functors coincide on perverse Nori motives. In particular, the canonical functor defined via the universal abelian factorization admits an expression in terms of the six operations and yields a monodromy sequence on perverse Nori motives. We then deduce the motivic integral identity of Kontsevich-Soibelman for perverse Nori motives. In the appendix, we also prove a version of Beilinson's equivalence for perverse sheaves of geometric origin, which is used repeatedly throughout the article.

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