Subgroups of Inertia Groups Arising from Abelian Varieties

A. Silverberg, Yuriy G. Zarkhin

Research output: Contribution to journalArticle

7 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)94-107
Number of pages14
JournalJournal of Algebra
Volume209
Issue number1
DOIs
StatePublished - Nov 1 1998

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Abelian Variety
Inertia
Subgroup
Normal subgroup
Valuation

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

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Subgroups of Inertia Groups Arising from Abelian Varieties. / Silverberg, A.; Zarkhin, Yuriy G.

In: Journal of Algebra, Vol. 209, No. 1, 01.11.1998, p. 94-107.

Research output: Contribution to journalArticle

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