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arXiv · 1805.08581

VGIT presentation of the second flip of $\overline{M}_{2,1}$

Maksym Fedorchuk·Matthew Grimes
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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.

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Maksym Fedorchuk, Matthew Grimes. 2018-05-22. VGIT presentation of the second flip of $\overline{M}_{2,1}$. https://arxiv.org/abs/1805.08581

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