In this paper we prove the Rigidity Theorem for motives of rigid analytic varieties over a non-Archimedean valued field. We prove this theorem both for motives with transfers and without transfers in a relative setting. Applications include the construction of étale realization functors, an upgrade of the known comparison between motives with and without transfers and an upgrade of the rigid analytic motivic tilting equivalence, extending them to-coefficients.

Rigidity for rigid analytic motives / F. Bambozzi, A. Vezzani. - In: JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU. - ISSN 1474-7480. - 20:4(2021 Jul), pp. 1341-1369. [10.1017/S1474748019000501]

Rigidity for rigid analytic motives

A. Vezzani
2021-07

Abstract

In this paper we prove the Rigidity Theorem for motives of rigid analytic varieties over a non-Archimedean valued field. We prove this theorem both for motives with transfers and without transfers in a relative setting. Applications include the construction of étale realization functors, an upgrade of the known comparison between motives with and without transfers and an upgrade of the rigid analytic motivic tilting equivalence, extending them to-coefficients.
14G22; 19F27; 2010 Mathematics subject classification:; Primary 14C15; Secondary 11G25
Settore MAT/02 - Algebra
Settore MAT/03 - Geometria
27-set-2019
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/771398
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