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Subgroups of Inertia Groups Arising from Abelian Varieties

✍ Scribed by A Silverberg; Yu.G Zarhin

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 207 KB
Volume: 209
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7523

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✦ Synopsis

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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