English

A proof of the Trisecant Identity through the Fourier-Mukai transform

Algebraic Geometry 2016-08-14 v1

Abstract

Using the technique of the Fourier-Mukai transform we give an explicit set of generators of the ideal defining an algebraic curve as a subscheme of its Jacobian. Essentially, these ideals are generated by the Fay's trisecant identities.

Keywords

Cite

@article{arxiv.1011.2165,
  title  = {A proof of the Trisecant Identity through the Fourier-Mukai transform},
  author = {Daniel Hernández Serrano and Francisco José Plaza Martín and José M. Muñoz Porras},
  journal= {arXiv preprint arXiv:1011.2165},
  year   = {2016}
}