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

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.

Name thesis:degree_name

Doctor of Philosophy

Level thesis:degree_level

Doctoral

Discipline thesis:degree_discipline

Natural Sciences

Grantor

Rice University

Year dc:date.issued

2015

Author dc:creator

• Durgin, Natalie Jean

Advisor dc:contributor.advisor

• Hassett, Brendan

Committee members dc:contributor.committeemember

• Várilly-Alvarado, Anthony
• Grandy, Richard

• Geometric Invariant Theory
• six points
• Hilbert scheme of points
• Hilbert-Chow morphism
• relative Hilbert stability
• finite Hilbert stability

Statement dc:rights

• Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.

Language dc:language.iso

eng

Handle dc:identifier.uri

https://hdl.handle.net/1911/87833

OAI identifier oai:identifier

oai:repository.rice.edu:1911/87833