Title: On the geometry of the moduli space of sheaves supported on curves of genus two in a quadric surface,
Abstract: We study the moduli space of stable sheaves of Euler characteristic 2,
supported on curves of arithmetic genus 2 contained in a smooth quadric
surface. We show that this moduli space is rational. We compute its Betti
numbers and we give a classification of the stable sheaves involving locally
free resolutions.