Rational cohomology of the moduli space of genus 4 curves

Orsola Tommasi

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Rational cohomology of the moduli space of genus 4 curves

Orsola Tommasi

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Abstract

We prove that the Poincare' polynomial of the moduli space of smooth genus 4 curves is 1+t^2+t^4+t^5. We show this by producing a stratification of the space, such that all strata are geometric quotients of complements of discriminants.

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BibTeX RIS

Orsola Tommasi. 2003-12-02. Rational cohomology of the moduli space of genus 4 curves. https://arxiv.org/abs/math/0312055

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