Degeneration of intermediate Jacobians and the Torelli theorem

Authors:
  • SBSuratno Basu
    Suratno Basu
  • ADAnanyo Dan
    Ananyo Dan
  • IKInder Kaur
    Inder Kaur

Abstract
Mumford and Newstead generalised the classical Torelli theorem to higher rank i.e., a smooth, projective curve X is uniquely determined by the second intermediate Jacobian of the moduli space of stable rank 2 bundles on X, with fixed odd degree determinant. In this article we prove the analogous result in the case X is an irreducible nodal curve with one node. As a byproduct, we obtain the degeneration of the intermediate Jacobians of a family of such moduli spaces.