English

A Torelli Type theorem for Nodal curves

Algebraic Geometry 2021-06-17 v1

Abstract

The moduli space of Gieseker vector bundles is a compactification of moduli of vector bundles on a nodal curve. This moduli space has only normal crossing singularity and it provides a flat degeneration. We prove a Torelli type theorem for a nodal curve using the moduli space of stable Gieseker vector bundles of fixed rank (strictly greater than 11) and fixed degree such that rank and degree are co-prime.

Keywords

Cite

@article{arxiv.2106.08506,
  title  = {A Torelli Type theorem for Nodal curves},
  author = {Suratno Basu and Sourav Das},
  journal= {arXiv preprint arXiv:2106.08506},
  year   = {2021}
}

Comments

To appear in International Journal of Mathematics

R2 v1 2026-06-24T03:14:51.037Z