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Cyclic Trigonal Riemann Surfaces of Genus 4
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.
2004 (English)Licentiate thesis, monograph (Other academic)
Abstract [en]

A closed Riemann surface which can be realized as a 3-sheeted covering of the Riemann sphere is called trigonal, and such a covering is called a trigonal morphism. Accola showed that the trigonal morphism is unique for Riemann surfaces of genus g ≥ 5. This thesis will characterize the Riemann surfaces of genus 4 wiht non-unique trigonal morphism. We will describe the structure of the space of cyclic trigonal Riemann surfaces of genus 4.

Place, publisher, year, edition, pages
Matematiska institutionen , 2004. , 54 p.
Series
Linköping Studies in Science and Technology. Thesis, ISSN 0280-7971 ; 1125
Keyword [en]
Riemann surface, trigonal morphism, Accola, genus 4
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-5678ISBN: 91-85295-68-X (print)OAI: oai:DiVA.org:liu-5678DiVA: diva2:21438
Presentation
2004-11-10, 00:00 (English)
Note
Report code: LiU-Tek-Lic-2004:54. The electronic version of the printed licentiate thesis is a corrected version where errors in the calculations have been corrected. See Errata below for a list of corrections.Available from: 2004-11-23 Created: 2004-11-23 Last updated: 2009-06-09

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fulltext(395 kB)609 downloads
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File name FULLTEXT01.pdfFile size 395 kBChecksum SHA-1
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errata(65 kB)44 downloads
File information
File name ERRATA01.pdfFile size 65 kBChecksum SHA-1
838624f65869984c020b3dfbfa3ca67e575772b3b083ee286871f04fe755228f44328fcb
Type errataMimetype application/pdf

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Ying, Daniel

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • 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