Hodge Groups of Abelian Varieties with Purely Multiplicative Reduction

Abstract

We show that if A is an abelian variety over a subfield F of C, and A has purely multiplicative reduction at a discrete valuation of F , then the Hodge group of A is semisimple (Theorem 4.1). Since the non-semisimplicity of the Hodge group of an abelian variety can be translated into a condition on the endomorphism algebra and its action on the tangent… (More)

Topics

Figures and Tables

Sorry, we couldn't extract any figures or tables for this paper.

Slides referencing similar topics