Degeneration of intermediate Jacobians and the Torelli theorem
Algebraic Geometry
2020-01-09 v2
Abstract
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 N\'{e}ron model of a family of such moduli spaces.
Cite
@article{arxiv.1809.08604,
title = {Degeneration of intermediate Jacobians and the Torelli theorem},
author = {Suratno Basu and Ananyo Dan and Inder Kaur},
journal= {arXiv preprint arXiv:1809.08604},
year = {2020}
}
Comments
to appear in Documenta Mathematica vol. 24, p. 1739-1767