Period and index, symbol lengths, and generic splittings in Galois cohomology

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We use constructions of versal cohomology classes based on a new notion of 'presentable functors', to describe a relationship between the problems of bounding symbol length in cohomology and of finding the minimal degree of a splitting field. The constructions involved are then also used to describe generic splitting varieties for degree 2 cohomology with coefficients in a commutative algebraic group of multiplicative type.

Original languageEnglish (US)
Pages (from-to)985-1000
Number of pages16
JournalBulletin of the London Mathematical Society
Volume48
Issue number6
DOIs
StatePublished - Jan 1 2016

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Galois Cohomology
Cohomology
Splitting Field
Algebraic Groups
Functor
Multiplicative
Coefficient

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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Period and index, symbol lengths, and generic splittings in Galois cohomology. / Krashen, Daniel.

In: Bulletin of the London Mathematical Society, Vol. 48, No. 6, 01.01.2016, p. 985-1000.

Research output: Contribution to journalArticle

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