Geodesic
Degeneration of Intermediate Jacobians and the Torelli Theorem
Documenta mathematica, Tome 24 (2019), pp. 1739-1767
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Mumford and Newstead generalized 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 second intermediate Jacobians and the associated Néron model of a family of such moduli spaces.
DOI : 10.4171/dm/714
Classification : 14C30, 14C34, 14D07, 14D20, 14H40, 32G20, 32S35
Mots-clés : Torelli theorem, intermediate Jacobians, Néron models, nodal curves, Gieseker moduli space, limit mixed Hodge structures 
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     author = {Suratno Basu and Ananyo Dan and Inder Kaur},
     title = {Degeneration of {Intermediate} {Jacobians} and the {Torelli} {Theorem}},
     journal = {Documenta mathematica},
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     doi = {10.4171/dm/714},
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Suratno Basu; Ananyo Dan; Inder Kaur. Degeneration of Intermediate Jacobians and the Torelli Theorem. Documenta mathematica, Tome 24 (2019), pp. 1739-1767. doi: 10.4171/dm/714

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