Stability of 2nd Hilbert points of canonical curves
Algebraic Geometry
2011-11-24 v1
Abstract
We establish GIT semistability of the 2nd Hilbert point of every Gieseker-Petri general canonical curve by a simple geometric argument. As a consequence, we obtain an upper bound on slopes of general families of Gorenstein curves. We also explore the question of what replaces hyperelliptic curves in the GIT quotients of the Hilbert scheme of canonical curves.
Keywords
Cite
@article{arxiv.1111.5339,
title = {Stability of 2nd Hilbert points of canonical curves},
author = {Maksym Fedorchuk and David Jensen},
journal= {arXiv preprint arXiv:1111.5339},
year = {2011}
}
Comments
14 pages