An Elementary GIT Construction of the Moduli Space of Stable Maps
Adam E. Parker
TL;DR
This paper constructs the moduli space of stable maps using Geometric Invariant Theory, providing a new perspective and a birational map to a projective variety, enhancing understanding of its geometric structure.
Contribution
It introduces an elementary GIT construction of the moduli space of stable maps as a quotient of the Graph Space by SL(2,C), offering a novel approach.
Findings
GIT construction of the moduli space of stable maps
Birational map from 0-pointed moduli space to a projective variety
New insights into the geometric structure of the moduli space
Abstract
This paper provides a GIT construction of the Moduli Space of Stable Maps as a GIT quotient of the Graph Space by SL(2,C). As a corollary, we get a birational map from the 0-pointed Moduli Space to a projective variety.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Computational Geometry and Mesh Generation · Geological Modeling and Analysis