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

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.

💡 Research Summary

The paper establishes a non‑abelian Torelli theorem for smooth projective curves by working entirely within the derived category of certain polarized Quot schemes. The authors begin by fixing a smooth projective curve (C) and a sufficiently ample vector bundle (E) on it. For a chosen integer (n) they consider the Quot scheme \