Baldwin, Elizabeth and Swinarski, David (2008) A geometric invariant theory construction of moduli spaces of stable maps. International Mathematics Research Papers, 2008. ISSN 1687-3017
Full text not available from this repository.Abstract
We construct the moduli spaces of stable maps, Graphic, via geometric invariant theory (GIT). This construction is only valid over Graphic, but a special case is a GIT presentation of the moduli space of stable curves of genus g with n marked points, Graphic; this is valid over Graphic. In another paper by the first author, a small part of the argument is replaced, making the result valid in far greater generality. Our method follows the one used in the case n = 0 by Gieseker in [9], 1982, Lectures on Moduli of Curves to construct Graphic, though our proof that the semistable set is nonempty is entirely different.
| Item Type: | Article |
|---|---|
| Official URL: | http://imrp.oxfordjournals.org/ |
| Additional Information: | © 2008 The Authors |
| Divisions: | Grantham Research Institute |
| Subjects: | Q Science > QA Mathematics |
| Date Deposited: | 17 Aug 2015 11:25 |
| Last Modified: | 11 Dec 2024 23:27 |
| URI: | http://eprints.lse.ac.uk/id/eprint/63200 |
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