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arxiv: math/9803001 · v1 · submitted 1998-02-28 · 🧮 math.AG

Calculating cohomology groups of moduli spaces of curves via algebraic geometry

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keywords cohomologycurvesgroupsmodulialgebraicalgebro-geometriccalculatingcompute
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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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