Étale几何起源的动机

IF 0.9 3区数学 Q2 MATHEMATICS

Bulletin of the London Mathematical Society Pub Date : 2025-05-07 DOI:10.1112/blms.70085

Raphaël Ruimy, Swann Tubach

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引用次数: 0

摘要

在qcqs有限维格式上，我们证明了几何起源的可变动机可以用纯范畴的可构造性来表征，从而给出了“所有可构造的可变动机都来自几何吗？”这可以追溯到Cisinski和dsamglise的研究。我们还证明了它们具有连续性，并且满足h下降和Milnor切除。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Étale motives of geometric origin

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Étale motives of geometric origin

Over qcqs finite-dimensional schemes, we prove that étale motives of geometric origin can be characterised by a constructibility property which is purely categorical, giving a full answer to the question ‘Do all constructible étale motives come from geometry?’ which dates back to Cisinski and Déglise's work. We also show that they afford the continuity property and satisfy h-descent and Milnor excision.

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