Recent results on cohomology jump loci

2015/07/24 by Budur, Nero, Wang, Botong
#Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1507.06714

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.

Related

• Cohomology jump loci of quasi-projective varieties
• Cohomology jump loci of quasi-compact Kähler manifolds
• Cohomology jump loci in the moduli spaces of vector bundles
• Cohomological jump loci and duality in local algebra
• Torsion points on the cohomology jump loci of compact Kähler manifolds