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Equivariant cohomology of moduli spaces of genus three curves with level two structure
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.ORCID iD: 0000-0002-2665-3208
2019 (English)In: Geometriae Dedicata, ISSN 0046-5755, E-ISSN 1572-9168, Vol. 202, no 1, p. 165-191Article in journal (Refereed) Published
Abstract [en]

We study the cohomology of the moduli space of genus three curves with level two structure and some related spaces. In particular, we determine the cohomology groups of the moduli space of plane quartics with level two structure as representations of the symplectic group on a six dimensional vector space over the field of two elements. We also make the analogous computations for some related spaces such as moduli spaces of genus three curves with a marked point and strata of the moduli space of Abelian differentials of genus three.

Place, publisher, year, edition, pages
Stockholm, 2019. Vol. 202, no 1, p. 165-191
National Category
Geometry
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-394157DOI: 10.1007/s10711-018-0407-5ISI: 000484924100009OAI: oai:DiVA.org:uu-394157DiVA, id: diva2:1357672
Available from: 2019-10-04 Created: 2019-10-04 Last updated: 2019-10-22Bibliographically approved

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Bergvall, Olof
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CiteExportLink to record
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  • apa
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  • de-DE
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