The period-index problem for complex tori

Autor:	Hotchkiss, James
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	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. Comment: 8 pages, comments welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2301.09293 Zobrazit plný text záznamu View this record from Arxiv