Degeneration of Intermediate Jacobians and the Torelli Theorem
Suratno BasuInstitute of Mathematical Sciences, HBNI, CIT Campus, Tharamani, Chennai 600113, India
Ananyo DanBCAM - Basque Centre for Applied Mathematics, Alameda de Mazarredo 14, 48009 Bilbao, Spain
Inder KaurInstituto de Matemática Pura e Aplicada, Estr. Dona Castorina, 110 - Jardim Botanico, Rio de Janeiro - RJ, 22460-320, Brazil
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.
Cite this article
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