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

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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
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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