Rank one local systems and forms of degree one

Autor:	Budur, Nero, Wang, Botong, Yoon, Youngho
Rok vydání:	2015
Předmět:	Mathematics - Algebraic Geometry Mathematics - Algebraic Topology 14C30 14F40
Druh dokumentu:	Working Paper
Popis:	Cohomology support loci of rank one local systems of a smooth quasiprojective complex algebraic variety are finite unions of torsion-translated complex subtori of the character variety of the fundamental group. Tangent spaces of the character variety are (partially) represented by logarithmic 1-forms. In this paper, we give a relation between cohomology support loci and the natural strata of 1-forms given by the dimension of the vanishing locus. This relation generalizes the one for the projective case due to Green and Lazarsfeld and also generalizes the partial relation due to Dimca in the quasi-projective case. Comment: Final version, to appear in IMRN
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1504.04287 Zobrazit plný text záznamu View this record from Arxiv