关于Etale上同调的局部上同调重数
Local cohomology multiplicities in in terms of étale cohomolgy
摘要：
我们给出了某些局部上同调不变量（介绍Lyubeznik）的一类轻度奇异品种的正特征的描述。本文的新颖之处在于用Emerton和Kisin的新的Riemann-Hilbert型对应来表示这些不变量的ZZ/pZZ系数的余上同调。因此，我们能够获得结果的积极特征，而早期的方法是有限的（由于使用德拉姆理论）的分析情况。
英文摘要：
We give a description of certain local cohomology invariants (introduced by Lyubeznik) for a class of mildly singular varieties in positive characteristic. The novelty of our approuch lies in using the new Riemann-Hilbert type correspondenc of Emerton and Kisin to express these invariants in terms of 'etale cohomology with ZZ/pZZ coefficients. Thus we are able to obtain results in positive characteristic whereas earlier approaches were restricted (due to the use of de Rham theory) to the analytic case.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
