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arXiv · 0909.4425

Reduction of Abelian Varieties and Grothendieck's Pairing

Klaus Loerke
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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.

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Klaus Loerke. 2009-09-24. Reduction of Abelian Varieties and Grothendieck's Pairing. https://arxiv.org/abs/0909.4425

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