Subgroups of inertia groups arising from abelian varieties

A. Silverberg; Yu. G. Zarhin

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arXiv · alg-geom/9706002

Subgroups of inertia groups arising from abelian varieties

A. Silverberg·Yu. G. Zarhin

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Abstract

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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A. Silverberg, Yu. G. Zarhin. 1998-04-02. Subgroups of inertia groups arising from abelian varieties. https://arxiv.org/abs/alg-geom/9706002

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