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Here we investigate the rational cohomology of the moduli space ℳ̄ 0, n (ℙ r , d ) of degree d stable maps from n -pointed rational curves to ℙ r . We obtain partial results for small values of d with an inductive method inspired by a paper of Enrico Arbarello and Maurizio Cornalba

Calculating cohomology groups of ℳ̄0,n (ℙ r ,d)