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arXiv:1209.6418 [math.AG]AbstractReferencesReviewsResources

Colliot-Thélène's conjecture and finiteness of u-invariants

Max Lieblich, R. Parimala, V. Suresh

Published 2012-09-28, updated 2013-02-25Version 2

We show that Colliot-Th\'el\`ene's conjecture on 0-cycles of degree 1 implies finiteness for the u-invariant of the function field of a curve over a totally imaginary number field and period-index bounds for the Brauer groups of arbitrary fields of transcendence degree 1 over the rational numbers.

Comments: 25 pages, comments welcome at any time
Categories: math.AG, math.NT, math.RA
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