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arXiv · alg-geom/9602014

Reduction of abelian varieties

A. Silverberg·Yu. G. Zarhin
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Abstract

We study semistable reduction and torsion points of abelian varieties. In particular, we give necessary and sufficient conditions for an abelian variety to have semistable reduction. We also study Néron models of abelian varieties with potentially good reduction and torsion points of small order. We study some invariants that measure the extent to which an abelian variety with potentially good reduction fails to have good reduction.

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A. Silverberg, Yu. G. Zarhin. 1998-08-29. Reduction of abelian varieties. https://arxiv.org/abs/alg-geom/9602014

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