Geometric invariant theory and moduli spaces of maps
David Swinarski
TL;DR
This paper discusses the application of geometric invariant theory to the construction and analysis of moduli spaces of maps, providing foundational insights into their geometric properties.
Contribution
It introduces a novel approach to constructing moduli spaces of maps using geometric invariant theory, expanding the theoretical framework in algebraic geometry.
Findings
Established a GIT framework for moduli spaces of maps
Connected GIT stability conditions with geometric properties of moduli spaces
Provided foundational results that underpin subsequent work in the area
Abstract
The results of this paper have been subsumed by the paper "A geometric invariant theory construction of spaces of stable maps," Elizabeth Baldwin and David Swinarski, arXiv:0706.1381
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry