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Degeneration of intermediate Jacobians and the Torelli theorem
- Publication Year :
- 2018
-
Abstract
- 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 N\'{e}ron model of a family of such moduli spaces.<br />Comment: to appear in Documenta Mathematica vol. 24, p. 1739-1767
- Subjects :
- Mathematics - Algebraic Geometry
14C30, 14C34, 14D07, 32G20, 32S35, 14D20
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1809.08604
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.25537/dm.2019v24.1739-1767