Reduction of Abelian Varieties and Grothendieck's Pairing

Abstract

We prove that abelian varieties of small dimension over discrete valuated, stricty henselian ground fields with perfect residue class field obtain semistable reduction after a tamely ramified extension of the ground field. Using this result we obtain perfectness results for Grothendieck's pairing.

11 pages

References in corpus (1)

• Automorphisms of finite Abelian groups