The smooth center of the cohomology of a singular variety

2013/01/14 by Donu Arapura, Xi Chen, Arapura, Donu +3
Mathematics · #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1301.3057

Abstract

We study constraints on the Chern classes of a vector bundle on a singular variety. We use this constraint to study a variety which carries a Hodge cycle that are not a linear combination of Chern classes of vector bundles on it.

Related

• Hodge Conjecture via Singular Varieties
• Equivariant Chow ring and Chern classes of wonderful symmetric varieties of minimal rank
• Classes de Chern en cohomologie rigide
• Lê cycles and Milnor classes
• Around a class version of the Hodge index theorem for singular varieties