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The space of Cohen-Macaulay curves
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.). (Algebra and Geometry)
2012 (English)Licentiate thesis, monograph (Other academic)
Abstract [en]

In this thesis we discuss a moduli space of projective curves with a map to a given projective space. The functor CM parametrizes curves, that is, Cohen-Macaulay schemes of pure dimension 1, together with a finite map to the projective space that is an isomorphism onto its image away from a finite set of closed points.

We proof that CM is an algebraic space by contructing a scheme W and a representable, surjective and smooth map from W to CM. 

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2012. , vii, 37 p.
Trita-MAT. MA, ISSN 1401-2278 ; 2012:04
National Category
Algebra and Logic Geometry
URN: urn:nbn:se:kth:diva-92167ISBN: 978-91-7501-297-1OAI: diva2:512651
2012-04-20, 3721, Lindstedtsvägen 25, KTH, Stockholm, 13:00 (English)
QC 20120229Available from: 2012-03-29 Created: 2012-03-28 Last updated: 2012-03-29Bibliographically approved

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