English

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 XX is uniquely determined by the second intermediate Jacobian of the moduli space of stable rank 22 bundles on XX, with fixed odd degree determinant. In this article we prove the analogous result in the case XX 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.

Keywords

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