Book section
Calabi-Yau Manifolds Over Finite Fields, I
- Abstract:
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We study Calabi-Yau manifolds defined over finite fields. These manifolds have parameters, which now also take values in the field and we compute the number of rational points of the manifold as a function of the parameters. The intriguing result is that it is possible to give explicit expressions for the number of rational points in terms of the periods of the holomorphic three-form. We show also, for a one parameter family of quintic threefolds, that the number of rational points of the man...
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Bibliographic Details
- Publication date:
- 2000-12-24
- Source identifiers:
-
1084
Item Description
- Keywords:
- Pubs id:
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pubs:1084
- UUID:
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uuid:9ac032e9-1e8e-47d4-8a42-542859a6025e
- Local pid:
- pubs:1084
- Deposit date:
- 2012-12-19
Terms of use
- Copyright date:
- 2000
- Notes:
- 75 pages, 6 eps figures
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