The etale symmetric Kunneth theorem

Hoyois, Marc (2023) The etale symmetric Kunneth theorem. MATHEMATISCHE ZEITSCHRIFT, 304 (1): 1. ISSN 0025-5874, 1432-1823

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Abstract

Let k be an algebraically closed field, l ? char k a prime number, and X a quasi-projective scheme over k. We show that the etale homotopy type of the dth symmetric power of X is Z/l-homologically equivalent to the dth strict symmetric power of the etale homotopy type of X. We deduce that the Z/l-local etale homotopy type of a motivic Eilenberg-Mac Lane space is an ordinary Eilenberg-Mac Lane space.

Item Type: Article
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 22 Feb 2024 08:47
Last Modified: 22 Feb 2024 08:47
URI: https://pred.uni-regensburg.de/id/eprint/59028

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