Equivariant counts of points of the moduli spaces of pointed hyperelliptic curves

zbMath1211.14030arXivmath/0611813MaRDI QIDQ845260

Jonas Bergström

Publication date: 27 January 2010

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611813

zbMATH Keywords

hyperelliptic curvescurves over finite fieldscohomology of moduli spaces of curves

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Curves over finite and local fields (11G20) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items (11)

The rational cohomology of \(\overline{\mathcal{M}}_4\) ⋮ Equivariant cohomology of the moduli space of genus three curves with symplectic level two structure via point counts ⋮ Lower bounds on the maximal number of rational points on curves over finite fields ⋮ Counting the number of trigonal curves of genus 5 over finite fields ⋮ Computing binary curves of genus five ⋮ Classical algebraic geometry. Abstracts from the workshop held June 20--26, 2021 (hybrid meeting) ⋮ Siegel modular forms of degree three and the cohomology of local systems ⋮ Cohomology of local systems on loci of \(d\)-elliptic abelian surfaces ⋮ The Chen-Ruan cohomology of moduli of curves of genus 2 with marked points ⋮ The fluctuations in the number of points on a family of curves over a finite field ⋮ The fluctuations in the number of points on a hyperelliptic curve over a finite field

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