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On the birational geometry of moduli spaces of pointed curves

  • Edoardo Ballico , Gianfranco Casnati and Claudio Fontanari
Published/Copyright: August 31, 2009
Forum Mathematicum
From the journal Volume 21 Issue 5

Abstract

We prove that the moduli space ℳg,n of smooth curves of genus g with n marked points is rational for g = 6 and 1 ≤ n ≤ 8, and it is unirational for g = 8 and 1 ≤ n ≤ 11, g = 10 and 1 ≤ n ≤ 3, g = 12 and n = 1.

Received: 2007-01-17
Revised: 2008-03-31
Published Online: 2009-08-31
Published in Print: 2009-September

© de Gruyter 2009

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