Subgroups of inertia groups arising from abelian varieties

Details Subgroups of inertia groups arising from abelian varieties Subgroups of inertia groups arising from abelian varieties

1997-06-03

arxiv.org/abs/alg-geom/9706002v2

Mathematics

Algebraic Geometry

LaTeX 2e, updated version

Scientific paper

Given an abelian variety over a field with a discrete valuation, Grothendieck defined a certain open normal subgroup of the absolute inertia group. This subgroup encodes information on the extensions over which the abelian variety acquires semistable reduction. We study this subgroup, and use it to obtain information on the extensions over which the abelian variety acquires semistable reduction.

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