Hodge conjecture for the moduli space of semi-stable sheaves over a nodal curve

2020/01/05 by Ananyo Dan, Inder Kaur, Dan, Ananyo +1 · 1 citation
Mathematics · #14C30 #14D05 #14D07 #14D20 #14D22 #32G20 #32S35 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2001.01198

openalex publication_date 2020/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we prove the Hodge conjecture for a desingularization of the moduli space of rank 2, semi-stable, torsion-free sheaves with fixed odd degree determinant over a very general irreducible nodal curve of genus at least 2. We also compute the algebraic Poincare polynomial of the associated cohomology ring.

Cited by

• Hodge Conjecture via Singular Varieties

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