We identify the p-adic unit roots of the zeta function of a projective hypersurface over a finite field of characteristic p as the eigenvalues of a product of special values of a certain matrix of p-adic series. That matrix is a product F(Λp)-1F(Λ), where the entries in the matrix F(Λ) are A-hypergeometric series with integral coefficients and F(Λ) is independent of p.
|Original language||English (US)|
|Journal||Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg|
|State||Accepted/In press - 2021|
Bibliographical notePublisher Copyright:
© 2021, The Author(s), under exclusive licence to Mathematisches Seminar der Universität Hamburg.
- A-hypergeometric series
- Hasse-Witt matrix
- p-adic cohomology