On the GIT Quotient Space of Quintic Surfaces
Algebraic Geometry
2016-08-09 v3
Abstract
We describe the GIT compactification for the moduli space of smooth quintic surfaces in projective space. In particular, we show that a normal quintic surface with at worst an isolated double point or a minimal elliptic singularity is stable. We also describe the boundary of the GIT quotient, and we discuss the stability of the non-normal surfaces.
Cite
@article{arxiv.1310.3534,
title = {On the GIT Quotient Space of Quintic Surfaces},
author = {Patricio Gallardo},
journal= {arXiv preprint arXiv:1310.3534},
year = {2016}
}
Comments
25 pages, 2 figure, 1 Table. Some sections have been substantially changed following suggestions of the referee