Geometric Invariant Theory Quotient of the Hilbert Scheme of Six Points on the Projective Plane

Date
2015-06-29
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Abstract

We provide an asymptotic stability portrait for the Hilbert scheme of six points on the complex projective plane, and provide a description of its geometric invariant theory (GIT) quotient.

Description
Degree
Doctor of Philosophy
Type
Thesis
Keywords
Geometric Invariant Theory, six points, Hilbert scheme of points, Hilbert-Chow morphism, relative Hilbert stability, finite Hilbert stability
Citation

Durgin, Natalie Jean. "Geometric Invariant Theory Quotient of the Hilbert Scheme of Six Points on the Projective Plane." (2015) Diss., Rice University. https://hdl.handle.net/1911/87833.

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