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  Geometric local ε-factors in higher dimensions

Guignard, Q. (2022). Geometric local ε-factors in higher dimensions. Journal of the Institute of Mathematics of Jussieu, 21(6), 1887-1913. doi:10.1017/S1474748021000037.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0009-701A-C Version Permalink: https://hdl.handle.net/21.11116/0000-000B-F578-A
Genre: Journal Article
Latex : Geometric local $\varepsilon$-factors in higher dimensions
Other : Geometric local epsilon-factors in higher dimensions

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Guignard_Geometric local epsilon-factors in higher dimensions_2022.pdf (Publisher version), 376KB
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Guignard_Geometric local epsilon-factors in higher dimensions_2022.pdf
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© The Author(s), 2021. Published by Cambridge University Press. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
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https://doi.org/10.1017/S1474748021000037 (Publisher version)
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 Creators:
Guignard, Quentin1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Geometry, Number Theory
 Abstract: We prove a product formula for the determinant of the cohomology of an étale sheaf with -adic coefficients over an arbitrary proper scheme over a perfect field of positive characteristic p distinct from. The local contributions are constructed by iterating vanishing cycle functors as well as certain exact additive functors that can be considered as linearised versions of Artin conductors and local -factors. We provide several applications of our higher dimensional product formula, such as twist formulas for global -factors.

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Language(s): eng - English
 Dates: 2022
 Publication Status: Issued
 Pages: 27
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1908.05888
DOI: 10.1017/S1474748021000037
 Degree: -

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Title: Journal of the Institute of Mathematics of Jussieu
Source Genre: Journal
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Publ. Info: Cambridge Unisversity Press
Pages: - Volume / Issue: 21 (6) Sequence Number: - Start / End Page: 1887 - 1913 Identifier: -