Colliot-Th\'el\`ene's conjecture and finiteness of u-invariants
Algebraic Geometry
2018-06-18 v2 Number Theory
Rings and Algebras
Abstract
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.
Keywords
Cite
@article{arxiv.1209.6418,
title = {Colliot-Th\'el\`ene's conjecture and finiteness of u-invariants},
author = {Max Lieblich and R. Parimala and V. Suresh},
journal= {arXiv preprint arXiv:1209.6418},
year = {2018}
}
Comments
25 pages, comments welcome at any time