Equivariant cohomology of moduli spaces of genus three curves with level two structure

DOI10.1007/s10711-018-0407-5zbMath1423.14182arXiv1704.04172OpenAlexW3098725816MaRDI QIDQ2273265

Olof Bergvall

Publication date: 18 September 2019

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.04172

zbMATH Keywords

moduli spacesequivariant cohomologyplane quarticsDel Pezzo surfacescurves of low genusconfigurations of point sets

Mathematics Subject Classification ID

Plane and space curves (14H50) Families, moduli of curves (algebraic) (14H10) Classical real and complex (co)homology in algebraic geometry (14F25) Families, moduli, classification: algebraic theory (14J10) Configurations and arrangements of linear subspaces (14N20)

Related Items

The Chern classes and Euler characteristic of the moduli spaces of Abelian differentials ⋮ Equivariant cohomology of the moduli space of genus three curves with symplectic level two structure via point counts ⋮ Cohomology of moduli spaces of Del Pezzo surfaces ⋮ Arithmetic and topology of classical structures associated with plane quartics ⋮ On the cohomology of the space of seven points in general linear position ⋮ Topology of arrangements and representation stability. Abstracts from the workshop held January 14--20, 2018 ⋮ Problems in arithmetic topology ⋮ Cohomology of complements of toric arrangements associated with root systems

Cites Work

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• The second rational homology group of the moduli space of curves with level structures
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• Connected components of the moduli spaces of Abelian differentials with prescribed singularities
• Combinatorics and Poincaré polynomials of hyperplane complements for exceptional Weyl groups
• Hidden \(\Sigma_{n+1}\)-actions
• The tree representation of \(\Sigma_{n+1}\)
• Binomial ideals
• Cohomology of complements of toric arrangements associated with root systems
• The high-dimensional cohomology of the moduli space of curves with level structures
• Equivariant cohomology of the moduli space of genus three curves with symplectic level two structure via point counts
• The fine structure of the moduli space of abelian differentials in genus 3
• Classical Algebraic Geometry
• Operads and moduli spaces of genus $0$ Riemann surfaces
• Torelli Groups and Geometry of Moduli Spaces of Curves

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