Journal article
The Zeta-Function of a p-Adic Manifold, Dwork Theory for Physicists
- Abstract:
-
In this article we review the observation, due originally to Dwork, that the zeta-function of an arithmetic variety, defined originally over the field with p elements, is a superdeterminant. We review this observation in the context of a one parameter family of quintic threefolds, and study the zeta-function as a function of the parameter \phi. Owing to cancellations, the superdeterminant of an infinite matrix reduces to the (ordinary) determinant of a finite matrix, U(\phi), corresponding to...
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- Publication status:
- Published
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- Publisher copy:
- 10.4310/CNTP.2007.v1.n3.a2
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Bibliographic Details
- Journal:
- COMMUNICATIONS IN NUMBER THEORY AND PHYSICS
- Volume:
- 1
- Issue:
- 3
- Pages:
- 479-512
- Publication date:
- 2007-05-15
- DOI:
- EISSN:
-
1931-4531
- ISSN:
-
1931-4523
- Source identifiers:
-
25140
Item Description
Terms of use
- Copyright date:
- 2007
- Notes:
- 29 pages, 1 figure
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