On the geometry of the moduli space of sheaves supported on curves of genus four contained in a quadric surface

2017/04/24 by Maican, Mario
#14D20 #14D22 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/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.

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