On the Relative Twist Formula of l-adic Sheaves

Yang, En Lin and Zhao, Yi Geng (2021) On the Relative Twist Formula of l-adic Sheaves. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 37 (1). pp. 73-94. ISSN 1439-8516, 1439-7617

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Abstract

We propose a conjecture on the relative twist formula of l-adic sheaves, which can be viewed as a generalization of Kato-Saito's conjecture. We verify this conjecture under some transversal assumptions. We also define a relative cohomological characteristic class and prove that its formation is compatible with proper push-forward. A conjectural relation is also given between the relative twist formula and the relative cohomological characteristic class.

Item Type: Article
Uncontrolled Keywords: Epsilon factor; twist formula; cohomological characteristic class; Kuenneth formula
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 25 Aug 2022 05:27
Last Modified: 25 Aug 2022 05:27
URI: https://pred.uni-regensburg.de/id/eprint/46929

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