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A geometric invariant theory construction of moduli spaces of stable maps

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

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Identification Number: 10.1093/imrp/rpn004

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
Subjects: Q Science > QA Mathematics
Sets: Research centres and groups > Grantham Research Institute on Climate Change and the Environment
Date Deposited: 17 Aug 2015 11:25
Last Modified: 18 Aug 2015 13:22
URI: http://eprints.lse.ac.uk/id/eprint/63200

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