Open AccessCohomology jump loci of quasi-projective varieties
Author(s) -
Nero Budur,
Botong Wang
Publication year - 2015
Publication title -
annales scientifiques de l école normale supérieure
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.955
H-Index - 65
eISSN - 1873-2151
pISSN - 0012-9593
DOI - 10.24033/asens.2242
Subject(s) - mathematics , cohomology , pure mathematics , projective test , jump , algebra over a field , physics , astronomy
We prove that the cohomology jump loci in the space of rank one local systems over a smooth quasi-projective variety are finite unions of torsion translates of subtori. The main ingredients are a recent result of Dimca-Papadima, some techniques introduced by Simpson, together with properties of the moduli space of logarithmic connections constructed by Nitsure and Simpson.
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