L functions associated with arithmetic D-modules - The case of curves

Caro, Daniel (2006) L functions associated with arithmetic D-modules - The case of curves. COMPOSITIO MATHEMATICA, 142 (1). pp. 169-206. ISSN 0010-437X,

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Abstract

We prove that holonomic arithmetical D-modules over curves have finite fibers. We also define L-functions associated with arithmetical D-modules and, when the scheme is a curve, we show a cohomological formula. Furthermore, we prove that F-isocrystals over curves are holonomic.

Item Type: Article
Uncontrolled Keywords: F-ISOCRYSTALS; MONODROMY; L-function; arithmetical D-modules; isocrystal; Frobenius; holonomicity
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 01 Mar 2021 11:01
Last Modified: 01 Mar 2021 11:01
URI: https://pred.uni-regensburg.de/id/eprint/35108

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