The Frobenius and monodromy operators for curves and abelian varieties
Number Theory
2008-02-03 v1
Abstract
In this paper, we give explicit descriptions of Hyodo and Kato's Frobenius and Monodromy operators on the first -adic de Rham cohomology groups of curves and Abelian varieties with semi-stable reduction over local fields of mixed characteristic. This paper was motivated by the first author's paper "A -adic Shimura isomorphism and periods of modular forms," where conjectural definitions of these operators for curves with semi-stable reduction were given.
Keywords
Cite
@article{arxiv.math/9701229,
title = {The Frobenius and monodromy operators for curves and abelian varieties},
author = {Robert Coleman and Adrian Iovita},
journal= {arXiv preprint arXiv:math/9701229},
year = {2008}
}