English

On the birational geometry of moduli spaces of pointed curves

Algebraic Geometry 2007-05-23 v1

Abstract

We prove that the moduli space \CalMg,n{\Cal M}_{g,n} of smooth curves of genus gg with nn marked points is rational for g=6g=6 and 1n81 \le n \le 8, and it is unirational for g=8g=8 and 1n111 \le n \le 11, g=10g=10 and 1n31 \le n \le 3, g=12g=12 and n=1n = 1.

Keywords

Cite

@article{arxiv.math/0701475,
  title  = {On the birational geometry of moduli spaces of pointed curves},
  author = {Edoardo Ballico and Gianfranco Casnati and Claudio Fontanari},
  journal= {arXiv preprint arXiv:math/0701475},
  year   = {2007}
}