The period-index problem for complex tori
Algebraic Geometry
2023-01-24 v1
Abstract
We solve the period-index problem for the Brauer group of a general complex torus of dimension at least three, giving an explicit formula for the index of each Brauer class. As a consequence, the complex-analytic version of the period-index conjecture is false for infinitely many Brauer classes on a general complex torus of dimension at least three.
Cite
@article{arxiv.2301.09293,
title = {The period-index problem for complex tori},
author = {James Hotchkiss},
journal= {arXiv preprint arXiv:2301.09293},
year = {2023}
}
Comments
8 pages, comments welcome