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.
|School Location:||United States -- New York|
|Source:||DAI-B 69/03, Dissertation Abstracts International|
|Keywords:||Geometric invariant theory, Moduli spaces|
Copyright in each Dissertation and Thesis is retained by the author. All Rights Reserved
The supplemental file or files you are about to download were provided to ProQuest by the author as part of a
dissertation or thesis. The supplemental files are provided "AS IS" without warranty. ProQuest is not responsible for the
content, format or impact on the supplemental file(s) on our system. in some cases, the file type may be unknown or
may be a .exe file. We recommend caution as you open such files.
Copyright of the original materials contained in the supplemental file is retained by the author and your access to the
supplemental files is subject to the ProQuest Terms and Conditions of use.
Depending on the size of the file(s) you are downloading, the system may take some time to download them. Please be