Low degree Hodge theory for klt varieties

Autor:	Schwald, Martin
Rok vydání:	2016
Předmět:	Mathematics - Algebraic Geometry 14E99 14F25
Druh dokumentu:	Working Paper
Popis:	If X is a complex projective variety with klt singularities, then the mixed Hodge structures on the first two singular cohomology groups are pure. We describe the pieces of the Hodge decomposition in terms of reflexive differential forms. Applications include a Lefschetz (1,1) Theorem and a weak analogue of the Hodge-Riemann bilinear relations for klt varieties. Comment: 11 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1612.01919 Zobrazit plný text záznamu View this record from Arxiv