2015/08/31 by Nero Budur, Botong Wang, Budur, Nero +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Complex Variables (math.CV) #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.1508.07867
openalex publication_date 2015/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove that the cohomology jump loci of rank one local systems on the complement in a small ball of a germ of a complex analytic set are finite unions of torsion translates of subtori. This is a generalization of the classical Monodromy Theorem stating that the eigenvalues of the monodromy on the cohomology of the Milnor fiber of a germ of a holomorphic function are roots of unity.