VGIT presentation of the second flip of $\overline{M}_{2,1}$
Algebraic Geometry
2019-01-24 v3
Abstract
We perform a variation of geometric invariant theory stability analysis for 2nd Hilbert points of bi-log-canonically embedded pointed curves of genus two. As a result, we give a GIT construction of the last three non-trivial log canonical models of the moduli space of pointed genus two curves, and obtain a VGIT presentation of the second flip in its Hassett-Keel program.
Keywords
Cite
@article{arxiv.1805.08581,
title = {VGIT presentation of the second flip of $\overline{M}_{2,1}$},
author = {Maksym Fedorchuk and Matthew Grimes},
journal= {arXiv preprint arXiv:1805.08581},
year = {2019}
}
Comments
v3: 26 pages, final version to appear in Michigan Math Journal, minor changes compared to previous versions; v2: 24 pages, subsection 3.1 on prior works is added, minor corrections throughout