La réalisation étale et les opérations de Grothendieck

IF 1.3 1区数学 Q1 MATHEMATICS

Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2014-02-01 DOI:10.24033/ASENS.2210

J. Ayoub

引用次数: 109

Abstract

In this article, we construct etale realization functors defined on the categories DAet(X, Λ) of etale motives (without transfers) over a scheme X. Our construction is natural and relies on a relative rigidity theorem a la Suslin-Voevodsky that we will establish first. Then, we show that these realization functors are compatible with Grothendieck operations and the "nearby cycles" functors. Along the way, we prove a number of properties concerning etale motives.

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架子的实现和格罗腾迪克的操作

在本文中，我们构造了在方案X上定义在类别DAet(X， Λ)上的真实动机(没有转移)的真实实现函子。我们的构造是自然的，依赖于我们将首先建立的相对刚性定理。然后，我们证明了这些实现函子与Grothendieck运算和“附近环”函子是相容的。在此过程中，我们证明了一些关于故事动机的性质。

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

Annales Scientifiques De L Ecole Normale Superieure 数学-数学

CiteScore

3.00

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Annales scientifiques de l''École normale supérieure were founded in 1864 by Louis Pasteur. The journal dealt with subjects touching on Physics, Chemistry and Natural Sciences. Around the turn of the century, it was decided that the journal should be devoted to Mathematics. Today, the Annales are open to all fields of mathematics. The Editorial Board, with the help of referees, selects articles which are mathematically very substantial. The Journal insists on maintaining a tradition of clarity and rigour in the exposition. The Annales scientifiques de l''École normale supérieures have been published by Gauthier-Villars unto 1997, then by Elsevier from 1999 to 2007. Since January 2008, they are published by the Société Mathématique de France.