The Frobenius and monodromy operators for curves and abelian varieties

Details The Frobenius and monodromy operators for curves and abelian varieties The Frobenius and monodromy operators for curves and abelian varieties

1997-01-02

arxiv.org/abs/math/9701229v1

Mathematics

Number Theory

Scientific paper

In this paper, we give explicit descriptions of Hyodo and Kato's Frobenius and Monodromy operators on the first $p$-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 $p$-adic Shimura isomorphism and periods of modular forms," where conjectural definitions of these operators for curves with semi-stable reduction were given.

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