Classical and minimal models of the moduli space of curves of genus two
By Brendan Hassett. 2004
87 citations recorded by the source corpus.
We discuss the log minimal model program as applied to the moduli space of curves, especially in the case of curves of genus two. Log canonical models for these moduli spaces can often be constructed using the techniques of Geometric Invariant Theory. In genus two, this boils down to the invariant theory of binary sextics, which was developed systematically in the 19th century.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/274d2d9fa9787149489c505efd7ac293fd20ae27
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In Geometry and Topology
- Donghoon Hyeon
- Yongnam Lee
- Brendan Hassett
- D. Smyth
- Maksym Fedorchuk
- Jarod Alper
- Franccois Charles
- Giovanni Mongardi
In Mathematical Physics
- Donghoon Hyeon
- Yongnam Lee
- Brendan Hassett
- D. Smyth
- Jarod Alper
- Maksym Fedorchuk
- Giovanni Mongardi
- Noah Giansiracusa
Citations in the corpus
- Log canonical models for the moduli space of curves: The first divisorial contraction (2006, background): “pulls back to KMg + αδ on the moduli stack (see Remark 4.9 of [ Has05 ]).”
- Log minimal model program for the moduli space of stable curves of genus three (2007, background): “In [ Has05 ], Hassett gave an outline of a general program whose goal is to describe the canonical model”
- Log minimal model program for the moduli space of stable curves: The first flip (2008, background): “For simplicity we assume that g ≥ 4: Small genera cases have been considered in [ Has05 , HL07b, HL07a].”