The GIT Compactification of Quintic Threefolds
Chirag Lakhani
TL;DR
This paper investigates the GIT compactification of quintic threefolds, analyzing singularities, describing boundary components, and stratifying the moduli space to better understand its geometric structure.
Contribution
It provides an explicit description of the boundary components and stratification of the GIT compactification for quintic threefolds, including analysis of singularities.
Findings
Partial description of the stable locus.
Explicit boundary component description.
Stratification of the GIT compactification.
Abstract
In this article, we study the geometric invariant theory (GIT) compactification of quintic threefolds. We study singularities, which arise in non-stable quintic threefolds, thus giving a partial description of the stable locus. We also give an explicit description of the boundary components and stratification of the GIT compactification.
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Taxonomy
TopicsGeometric and Algebraic Topology · Algebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology