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Degeneration of intermediate Jacobians and the Torelli theorem

Authors :
Basu, Suratno
Dan, Ananyo
Kaur, Inder
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

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