Arithmetic and topology of classical structures associated with plane quartics

DOI10.1007/s40879-023-00711-3arXiv2106.13072OpenAlexW3176302615MaRDI QIDQ6146108

Olof Bergvall

Publication date: 10 January 2024

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.13072

zbMATH Keywords

cohomologymoduli spacesplane quarticsbitangentsSteiner complexespoint countsAronhold heptadsCayley octadsGöpel subsets

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Curves over finite and local fields (11G20) Arithmetic ground fields (finite, local, global) and families or fibrations (14D10) Varieties over finite and local fields (11G25) Fine and coarse moduli spaces (14D22)

Cites Work

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• Bitangents of tropical plane quartic curves
• Stable pair, tropical, and log canonical compactifications of moduli spaces of del Pezzo surfaces
• Configurations of lines and models of Lie algebras
• A maximal subgroup of \(PSp_ 6(2^ m)\) related to a spread
• Maximal subgroups of symplectic groups stabilizing spreads
• Partitions and their stabilizers for line complexes and quadrics
• Equivariant Poincaré polynomials and counting points over finite fields
• Inverse Galois problem for del Pezzo surfaces over finite fields
• On plane quartics with a Galois invariant Cayley octad
• An enriched count of the bitangents to a smooth plane quartic curve
• Cohomology of complements of toric arrangements associated with root systems
• Equivariant cohomology of the moduli space of genus three curves with symplectic level two structure via point counts
• Arithmetic statistics on cubic surfaces
• On the cohomology of the space of seven points in general linear position
• Equivariant cohomology of moduli spaces of genus three curves with level two structure
• An orthogonal group of order \(2^{13}\cdot 3^ 5\cdot 5^ 2\cdot 7\)
• Sur quelques points d'algèbre homologique
• The classes and representations of the groups of 27 lines and 28 bitangents
• CROSS RATIO VARIETIES FOR ROOT SYSTEMS II: THE CASE OF THE ROOT SYSTEM OF TYPE <i>E</i>₇
• Classical Algebraic Geometry
• CROSS RATIO VARIETIES FOR ROOT SYSTEMS
• The equivariant Euler characteristic of $\mathcal{A}3[2$]
• Del Pezzo surfaces over finite fields and their Frobenius traces
• Maximal Subgroups of Index 960 of the Group of the Bitangents
• An Operand for a Group of Order 1512
• Cohomology of moduli spaces of Del Pezzo surfaces