On the zeroes and poles of L-functions over varieties in positive characteristic

IF 1.2 1区数学 Q1 MATHEMATICS Journal fur die Reine und Angewandte Mathematik Pub Date : 2022-06-25 DOI:10.1515/crelle-2022-0031

Fabien Trihan, Olivier Brinon

引用次数: 0

Abstract

Abstract We express the order of the pole and the leading coefficient of the L-function of a (large class of) ℓ{\ell}-adic coefficients (ℓ{\ell} any prime) over a quasi-projective variety over a finite field of characteristic p. We use the technique of [13] with coefficients with, as new ingredient, the use of F-gauges and their equivalence, in the derived category, with Raynaud modules proved by Ekedahl.

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关于l -函数在正特征变量上的零点和极点

摘要:我们在特征为p的有限域上，用[13]的方法表示了一类(大)的{\ well}进系数({\ well}任意素数)的l函数的极点的阶数和导系数。我们在推导范畴中使用了f规及其等价，作为新的成分，并使用了Ekedahl证明的雷诺模。

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

Journal fur die Reine und Angewandte Mathematik 数学-数学

CiteScore

2.50

自引率

6.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The Journal für die reine und angewandte Mathematik is the oldest mathematics periodical still in existence. Founded in 1826 by August Leopold Crelle and edited by him until his death in 1855, it soon became widely known under the name of Crelle"s Journal. In the almost 180 years of its existence, Crelle"s Journal has developed to an outstanding scholarly periodical with one of the worldwide largest circulations among mathematics journals. It belongs to the very top mathematics periodicals, as listed in ISI"s Journal Citation Report.

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