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

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.

arXiv commentTo appear in Annali di Matematica Pura ed Applicata