Monomial Deformations of Certain Hypersurfaces and Two Hypergeometric Functions : 2
Institution: | The University of Tokyo / |
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Department: | |
Year: | 2017 |
Posted: | 02/01/2018 |
Record ID: | 2219149 |
Full text PDF: | http://hdl.handle.net/2261/56111 |
In this article, we give a certain class of one-parameter families of Calabi-Yau hypersurfaces of a projective space over a finite field that includes the Dwork family and investigate the relationship of these families with hypergeometric series and with hypergeometric function over finite fields. The former is related via a formula for unit-root, and the latter is related via a factorization of the zeta function.