Mumford and Newstead generalized the classical Torelli theorem to higher rank, i.e. a smooth, projective curve is uniquely determined by the second intermediate Jacobian of the moduli space of stable rank bundles on , with fixed odd degree determinant. In this article we prove the analogous result in the case is an irreducible nodal curve with one node. As a byproduct, we obtain the degeneration of the second intermediate Jacobians and the associated Néron model of a family of such moduli spaces.
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Suratno Basu, Ananyo Dan, Inder Kaur, Degeneration of Intermediate Jacobians and the Torelli Theorem. Doc. Math. 24 (2019), pp. 1739–1767DOI 10.4171/DM/714