hig.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard-cite-them-right
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • sv-SE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • de-DE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Cohomology of the moduli space of curves of genus three with level two structure
Stockholms universitet, Matematiska institutionen.ORCID iD: 0000-0002-2665-3208
2014 (English)Licentiate thesis, monograph (Other academic)
Abstract [en]

In this thesis we investigate the moduli space M3[2] of curves of genus 3 equipped with a symplectic level 2 structure. In particular, we are interested in the cohomology of this space. We obtain cohomological information by decomposing M3[2] into a disjoint union of two natural subspaces, Q[2] and H3[2], and then making S7- resp. S8-equivariantpoint counts of each of these spaces separately.

Abstract [sv]

Målet med denna uppsats är att undersöka modulirummet M3[2] av kurvor av genus 3 med symplektisk nivå 2 struktur. Mer specifikt vill vi hitta informationom kohomologin av detta rum. För att uppnå detta delar vi först upp M[2] i en disjunkt union av två naturliga delrum, Q[2] och H3[2], och räknar därefter punkterna av dessa rum S7- respektive S8-ekvivariant.

Place, publisher, year, edition, pages
Stockholm: Department of Mathematics, Stockholm University , 2014. , p. 138
Keywords [en]
Algebraic geometry, Moduli space, Cohomology, Symplectic structure, Point count
National Category
Geometry Algebra and Logic
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:hig:diva-32119ISBN: 978-91-7447-923-2 (print)OAI: oai:DiVA.org:hig-32119DiVA, id: diva2:1422674
Presentation
2014-05-22, 306, Hus 6, Kräftriket, 10:00 (English)
Opponent
Supervisors
Available from: 2020-04-20 Created: 2020-04-08 Last updated: 2020-04-20Bibliographically approved

Open Access in DiVA

fulltext(709 kB)101 downloads
File information
File name FULLTEXT01.pdfFile size 709 kBChecksum SHA-512
102aa540cb3c409900274e9dd37db99871fcfac2340c8d0edac88a5ea57fd9f98eac26ceb2e9f65ad2d8f213036042a48df534787febff10b324eeb6127c07e0
Type fulltextMimetype application/pdf

Other links

http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-103062

Authority records

Bergvall, Olof

Search in DiVA

By author/editor
Bergvall, Olof
GeometryAlgebra and Logic

Search outside of DiVA

GoogleGoogle Scholar
Total: 101 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: 271 hits
CiteExportLink to record
Permanent link

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