Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Compactifying locally Cohen-Macaulay projective curves
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2005 (English)Doctoral thesis, monograph (Other scientific)
Abstract [en]

We define a moduli functor parametrizing finite maps from a projective (locally) Cohen-Macaulay curve to a fixed projective space. The definition of the functor includes a number of technical conditions, but the most important is that the map is almost everywhere an isomorphism onto its image. The motivation for this definition comes from trying to interpolate between the Hilbert scheme and the Kontsevich mapping space. The main result is that our functor is represented by a proper algebraic space. As applications we obtain a new proof of the existence of Macaulayfications for varieties, and secondly, interesting compactifications of the spaces of smooth curves in projective space. We illustrate this in the case of rational quartics, where the resulting space appears easier than the Hilbert scheme.

Place, publisher, year, edition, pages
Stockholm: KTH , 2005. , 34 p.
Series
Trita-MAT. MA, ISSN 1401-2278 ; 05-12
Keyword [en]
Cohen-Macaulay compactification, curves, algebraic space
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-470ISBN: 91-7178-193-5 (print)OAI: oai:DiVA.org:kth-470DiVA: diva2:13507
Public defence
2005-11-18, F3, Lindstedsv. 26, KTH, 15:00
Opponent
Supervisors
Note
QC 20101022Available from: 2005-11-02 Created: 2005-11-02 Last updated: 2010-10-22Bibliographically approved

Open Access in DiVA

fulltext(355 kB)561 downloads
File information
File name FULLTEXT01.pdfFile size 355 kBChecksum MD5
31307756cd965af5359395d9ab23cd528c47ea1d928e9a58da3a39650b9d65c2c312592d
Type fulltextMimetype application/pdf

Search in DiVA

By author/editor
Hønsen, Morten
By organisation
Mathematics (Dept.)
Mathematics

Search outside of DiVA

GoogleGoogle Scholar
Total: 561 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

isbn
urn-nbn

Altmetric score

isbn
urn-nbn
Total: 570 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf