Can anyone please provide me with a reference on $H^n(M_{0,n+3},{\mathbb C})$ where $M_{0,n+3}$ is the (affine) scheme parametrizing $n+3$ labeled distinct points on ${\mathbb CP}^1$? I am looking for combinatorial description, dimension, weight filtration, etc.
On $n$-th cohomology of $M_{0,n+3}$
Lev Borisov
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