GIT Constructions of Log Canonical Models of M_g

Details GIT Constructions of Log Canonical Models of M_g GIT Constructions of Log Canonical Models of M_g

2011-09-09

arxiv.org/abs/1109.2173v1

Mathematics

Algebraic Geometry

23 pages

Scientific paper

The purpose of this article is to give an overview of the construction of moduli spaces of curves from the viewpoint of the log minimal model program for M_g by providing an update of recent developments and discussing future problems. This survey is distinguished from the recent articles of Fedorchuk-Smyth and Morrison in its focus on low degree Hilbert stability of curves.

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