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Rationality and meromorphy of zeta functions

Abstract:

This article is all about two theorems on equations over finite fields which have been proved in the past decade. First, the finiteness of the rigid cohomology of a variety over a finite field. Second, the p-adic meromorphy of the unit root zeta function of a family of varieties over a finite field of characteristic p. The purpose of the article is to explain what these theorems mean, and also to give an outline of the proof of the first one. The intended audience is mathematicians with an in...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.ffa.2005.03.004

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
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Funding agency for:
Lauder, A
Publisher:
Elsevier Publisher's website
Journal:
Finite Fields and their Applications Journal website
Volume:
11
Issue:
3
Pages:
491-510
Publication date:
2005-08-01
DOI:
ISSN:
1071-5797
Source identifiers:
147883
Language:
English
Keywords:
Subjects:
UUID:
uuid:6d89f610-ac29-458b-8eea-511ede4f5f0d
Local pid:
pubs:147883
Deposit date:
2013-02-20

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