The zero locus of the infinitesimal invariant

2012/07/30 by Greg Pearlstein, Pearlstein, Greg, Christian Schnell +1
Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG

paper · pdf · doi:10.48550/arxiv.1207.6918

10 pages

arxiv created 2012/07/30 · openalex publication_date 2012/07/30 · arxiv updated 2012/07/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let ν be a normal function on a complex manifold X. The infinitesimal invariant of ν has a well-defined zero locus inside the tangent bundle TX. When X is quasi-projective, and ν is admissible, we show that this zero locus is constructible in the Zariski topology.

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