Rational cohomology of the moduli space of genus 4 curves

DOI10.1112/S0010437X0400123XzbMath1138.14019arXivmath/0312055MaRDI QIDQ4681961

Orsola Tommasi

Publication date: 9 June 2005

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

Full work available at URL: https://arxiv.org/abs/math/0312055

zbMATH Keywords

cohomology ringsdiscriminantsHodge structuresmoduli of curvesmoduli spaces of curvesdiscriminantal varietiestopology of moduli spacesBorel-Moore cohomology' rational cohomology

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (Co)homology theory in algebraic geometry (14F99) Topological properties in algebraic geometry (14F45) Spectral sequences and homology of fiber spaces in algebraic topology (55R20)

Related Items (14)

The orbifold cohomology of moduli of genus 3 curves ⋮ The rational cohomology of \(\overline{\mathcal{M}}_4\) ⋮ Stable cohomology of spaces of non-singular hypersurfaces ⋮ Rational homology of the order complex of zero sets of homogeneous quadratic polynomial systems in \(\mathbb{R}^3\) ⋮ Stable cohomology of the universal degree \(d\) hypersurface in \(\mathbb{P}^N\) ⋮ Classical algebraic geometry. Abstracts from the workshop held June 20--26, 2021 (hybrid meeting) ⋮ Tropical curves and covers and their moduli spaces ⋮ Characteristic classes of moduli spaces— Riemann surface, graph, homology cobordism ⋮ The Euler characteristic of local systems on the moduli of genus 3 hyperelliptic curves ⋮ On the discriminant locus of a rank \(n-1\) vector bundle on \(\mathbb{P}^{n-1}\) ⋮ Cohomology of the moduli space of non-hyperelliptic genus four curves ⋮ Rational cohomology of the moduli space of trigonal curves of genus 5 ⋮ \(E_2\)-cells and mapping class groups ⋮ Tropical curves, graph complexes, and top weight cohomology of ℳ_{ℊ}

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