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Calculating cohomology groups of moduli spaces of curves via algebraic geometry

Enrico Arbarello·Maurizio Cornalba
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Abstract

We compute the first, second, third, and fifth rational cohomology groups of the moduli space of stable n-pointed genus g curves, for all g and n, using (mostly) algebro-geometric techniques.

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Enrico Arbarello, Maurizio Cornalba. 1998-02-28. Calculating cohomology groups of moduli spaces of curves via algebraic geometry. https://arxiv.org/abs/math/9803001

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