Dissertation/Thesis Abstract

Geometric invariant theory and moduli spaces of pointed curves
by Swinarski, David, Ph.D., Columbia University, 2008, 130; 3305267
Abstract (Summary)

The main result of this dissertation is that Hilbert points parametrizing smooth curves with marked points are stable in the sense of geometric invariant theory with respect to a wide range of linearizations. This is used to construct the coarse moduli spaces of weighted pointed curves, including the moduli spaces of Deligne-Mumford stable pointed curves, as well as ample line bundles on these spaces.

Indexing (document details)
Advisor:
Commitee:
School: Columbia University
School Location: United States -- New York
Source: DAI-B 69/03, Dissertation Abstracts International
Source Type: DISSERTATION
Subjects: Mathematics
Keywords: Geometric invariant theory, Moduli spaces
Publication Number: 3305267
ISBN: 978-0-549-51506-7
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