English

A note on Torelli-type theorems for Gorenstein curves

Algebraic Geometry 2016-03-31 v1

Abstract

Using the notion of generalized divisors introduced by Hartshorne, we adapt the theory of adjoint forms to the case of Gorenstein curves. We show an infinitesimal Torelli-type theorem for vector bundles on Gorenstein curves. We also construct explicit counterexamples to the infinitesimal Torelli claim in the case of a reduced reducible Gorenstein curve.

Keywords

Cite

@article{arxiv.1603.09080,
  title  = {A note on Torelli-type theorems for Gorenstein curves},
  author = {Luca Rizzi and Francesco Zucconi},
  journal= {arXiv preprint arXiv:1603.09080},
  year   = {2016}
}

Comments

17 pages

R2 v1 2026-06-22T13:21:14.079Z