On the cohomology of moduli spaces of (weighted) stable rational curves

Details On the cohomology of moduli spaces of (weighted) stable rational curves On the cohomology of moduli spaces of (weighted) stable rational curves

2011-11-28

arxiv.org/abs/1111.6438v1

Mathematics

Algebraic Geometry

13 pages

Scientific paper

We give a recursive algorithm to compute the character of the cohomology of
the moduli space Mbar_{0,n} of stable n-pointed genus zero curves as a
representation of the symmetric group on n letters. Using the algorithm we can
show a formula for the maximum length of this character. Our main tool is
connected to the moduli spaces of weighted stable curves introduced by Hassett.

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