On A Relative Mumford-Newstead Theorem
Algebraic Geometry
2016-05-17 v3
Abstract
In this paper we prove a relative version of the classical Mumford-Newstead theorem for a family of smooth curves degenerating to a reducible curve with a simple node. We also prove a Torelli-type theorem by showing that certain moduli spaces of torsion-free sheaves on a reducible curve allows us to recover the curve from the moduli space.
Cite
@article{arxiv.1501.07347,
title = {On A Relative Mumford-Newstead Theorem},
author = {Suratno Basu},
journal= {arXiv preprint arXiv:1501.07347},
year = {2016}
}
Comments
Final version, 32 pages, to appear in Bulletin des Sciences mathemaquies