Abstract
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) |
|---|---|
| Pages (from-to) | 225-256 |
| Number of pages | 32 |
| Journal | Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg |
| Volume | 91 |
| Issue number | 2 |
| DOIs | |
| State | Accepted/In press - 2021 |
Bibliographical note
Publisher Copyright:© 2021, The Author(s), under exclusive licence to Mathematisches Seminar der Universität Hamburg.
Keywords
- A-hypergeometric series
- Hasse-Witt matrix
- p-adic cohomology