On Brill-Noether loci over Quot schemes and a Torelli theorem

Abstract

We prove a non abelian Torelli type result for smooth projective curves by working in the derived category of some associated polarized Quot schemes and defining Brill-Noether loci and Abel-Jacobi maps on them.

15 pages

References in corpus (4)

• Derived categories of coherent sheaves on abelian varieties and equivalences between them
• Mirror symmetry for abelian varieties
• Torelli's theorem for high degree symmetric products of curves
• Non-birational Calabi-Yau threefolds that are derived equivalent