A cohomological interpretation of Bogomolov's instability

2011/12/06 by Gabriele Di Cerbo, Di Cerbo, Gabriele
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1112.1445

openalex publication_date 2011/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a new proof of Bogomolov's instability theorem. Furthermore we prove that it is equivalent to a statement which characterizes when the first cohomology group of a suitable divisor does not vanish.

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