On the geometry of the moduli space of sheaves supported on curves of genus four contained in a quadric surface
arXiv:1704.07011
Abstract
We study the moduli space of stable sheaves of Euler characteristic 1 supported on curves of bidegree (3, 3) contained in a smooth quadric surface. We show that this moduli space is rational. We compute its Betti numbers by studying the variation of the moduli spaces of alpha-semi-stable pairs.
arXiv admin note: text overlap with arXiv:1704.00810