On the birational geometry of moduli spaces of pointed curves

Details On the birational geometry of moduli spaces of pointed curves On the birational geometry of moduli spaces of pointed curves

2007-01-17

arxiv.org/abs/math/0701475v1

Mathematics

Algebraic Geometry

Scientific paper

We prove that the moduli space ${\Cal M}_{g,n}$ of smooth curves of genus $g$
with $n$ marked points is rational for $g=6$ and $1 \le n \le 8$, and it is
unirational for $g=8$ and $1 \le n \le 11$, $g=10$ and $1 \le n \le 3$, $g=12$
and $n = 1$.

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