Hodge theory of twisted derived categories and the period-index problem

Autor:	Hotchkiss, James
Rok vydání:	2022
Předmět:	Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	We study the Hodge theory of twisted derived categories and its relation to the period-index problem. Our main contribution is the development of a theory of twisted Mukai structures for topologically trivial Brauer classes on arbitrary smooth proper varieties and in families. As applications, we construct Hodge classes whose algebraicity would imply period-index bounds; construct new counterexamples to the integral Hodge conjecture on Severi-Brauer varieties; and prove the integral Hodge conjecture for derived categories of Deligne-Mumford surfaces. Comment: 34 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2212.10638 Zobrazit plný text záznamu View this record from Arxiv