On the zeta function of a family of quintics |
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Authors: | Philippe Goutet |
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Affiliation: | IMJ, case 247, 4 place Jussieu, 75252 Paris Cedex 05, France |
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Abstract: | In this article, we give a proof of the link between the zeta function of two families of hypergeometric curves and the zeta function of a family of quintics that was observed numerically by Candelas, de la Ossa, and Rodriguez Villegas. The method we use is based on formulas of Koblitz and various Gauss sums identities; it does not give any geometric information on the link. |
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Keywords: | Quintic threefold Hypergeometric curves Zeta function factorization |
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