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 ) and fixed degree such that rank and degree are co-prime.
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