Reduction of Abelian Varieties and Grothendieck's Pairing

Details Reduction of Abelian Varieties and Grothendieck's Pairing Reduction of Abelian Varieties and Grothendieck's Pairing

2009-09-24

arxiv.org/abs/0909.4425v1

Mathematics

Algebraic Geometry

11 pages

Scientific paper

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.

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