Reduction of abelian varieties

Details Reduction of abelian varieties Reduction of abelian varieties

1996-02-19

arxiv.org/abs/alg-geom/9602014v2

Mathematics

Algebraic Geometry

Scientific paper

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 N\'eron 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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