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Licensed Unlicensed Requires Authentication Published by De Gruyter August 31, 2009

On the birational geometry of moduli spaces of pointed curves

Edoardo Ballico, Gianfranco Casnati and Claudio Fontanari
From the journal

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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