DEGENERATION OF INTERMEDIATE JACOBIANS AND THE TORELLI THEOREM
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Basu, Suratno
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HBNI, Inst Math Sci, CIT Campus, Chennai 600113, Tamil Nadu, IndiaHBNI, Inst Math Sci, CIT Campus, Chennai 600113, Tamil Nadu, India
Basu, Suratno
[1
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Dan, Ananyo
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BCAM, Alameda Mazarredo 14, Bilbao 48009, SpainHBNI, Inst Math Sci, CIT Campus, Chennai 600113, Tamil Nadu, India
Dan, Ananyo
[2
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Kaur, Inder
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Inst Matematica Pura & Aplicada, Estr Dona Castorina,110 Jardim Bot, BR-22460320 Rio De Janeiro, RJ, BrazilHBNI, Inst Math Sci, CIT Campus, Chennai 600113, Tamil Nadu, India
Kaur, Inder
[3
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机构:
[1] HBNI, Inst Math Sci, CIT Campus, Chennai 600113, Tamil Nadu, India
[2] BCAM, Alameda Mazarredo 14, Bilbao 48009, Spain
[3] Inst Matematica Pura & Aplicada, Estr Dona Castorina,110 Jardim Bot, BR-22460320 Rio De Janeiro, RJ, Brazil
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 Neron model of a family of such moduli spaces.