arXiv:0909.4345 Abstract | arXiv Analytics

Published 2009-09-24, updated 2015-01-05Version 3

Using geometric methods we prove the standard period-index conjecture for the Brauer group of a field of transcendence degree 2 over a finite field.

Comments: Major revision, including bug fixes, reorganization, (hopefully) improved exposition, and clarification of base field assumptions

Categories: math.AG, math.NT

Subjects: 16K50, 14D20, 14G15

Keywords: transcendence degree, period-index problem, standard period-index conjecture, brauer group

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