GIT Constructions of Log Canonical Models of M_g

2011/09/09 by Jarod Alper, Alper, Jarod, Donghoon Hyeon +1
Computer Science · Earth and Planetary Sciences · Mathematics · #Algebraic Geometry (math.AG) #Constraint Satisfaction and Optimization #Distributed and Parallel Computing Systems #FOS: Mathematics #Geological Modeling and Analysis #math.AG

paper · pdf · doi:10.48550/arxiv.1109.2173

23 pages

arxiv created 2011/09/09 · openalex publication_date 2011/09/09 · arxiv updated 2011/09/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Log minimal model program for the moduli space of stable curves: The first flip
• Groebner techniques for low degree Hilbert stability

Related

• An outline of the log minimal model program for the moduli space of curves
• GIT Constructions of Moduli Spaces of Stable Curves and Maps
• Log minimal model program for the moduli space of stable curves: The first flip
• Log minimal model program for the moduli space of stable curves: The second flip
• Log canonical models for M_g,n