Rational cohomology of the moduli space of genus 4 curves
classification
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spacecurvesgenusmodulicohomologycomplementsdiscriminantsgeometric
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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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