On the birational geometry of moduli spaces of pointed curves

Edoardo Ballico; Gianfranco Casnati; Claudio Fontanari

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On the birational geometry of moduli spaces of pointed curves

Edoardo Ballico·Gianfranco Casnati·Claudio Fontanari

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Abstract

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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BibTeX RIS

Edoardo Ballico, Gianfranco Casnati, Claudio Fontanari. 2007-01-17. On the birational geometry of moduli spaces of pointed curves. https://arxiv.org/abs/math/0701475

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