Derived equivalence and non-vanishing loci II

Abstract

We prove a few cases of a conjecture on the invariance of cohomological support loci under derived equivalence by establishing a concrete connection with the related problem of the invariance of Hodge numbers. We use the main case in order to study the derived behavior of fibrations over curves.

arXiv commentv2: 14 pages; published version (London Math. Soc. Lecture Note Series, vol. 417 in honor of R. Lazarsfeld) including an improvement to the statement of Theorem 12 according to a referee's suggestion