Monomial Deformations of Certain Hypersurfaces and Two Hypergeometric Functions

by Kazuaki Miyatani

Institution: University of Tokyo
Year: 2013
Record ID: 1227384
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. 報告番号: ; 学位授与年月日: 2013.3.25 ; 学位の種別: 課程博士 ; 学位の種類: 博士(数理科学) ; 学位記番号: ; 研究科・専攻: 数理科学研究科数理科学専攻