Recent results on cohomology jump loci

Abstract

This is a survey of recent results related to cohomology jump loci. It emphasizes connections with deformations with cohomology constraints, global structural results for rank one local systems and line bundles, some connections with restrictions on fundamental groups and homotopy types, and connections with classical singularity theory and Bernstein-Sato ideals.

References in corpus (2)

• On the fundamental groups of normal varieties
• On the irreducible components of characteristic varieties

Cited by in corpus (4)

• Absolute sets and the Decomposition Theorem
• Cohomology jump loci of quasi-compact Kähler manifolds
• Local systems on analytic germ complements
• BPS jumping loci and special cycles