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On the birational geometry of moduli spaces of pointed curves
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Edoardo Ballico
Veröffentlicht/Copyright:
31. August 2009
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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Artikel in diesem Heft
- Applications of Multivariate Asymptotics I: Boundedness of a maximal operator on
- Geodesic flow of the averaged controlled Kepler equation
- Hyperbolicity in unbounded convex domains
- Explicit connections with SU(2)-monodromy
- Eigentheory of Cayley-Dickson algebras
- Alternators in the Cayley-Dickson algebras
- Cohomological characterisation of Steiner bundles
- Sigma-cotorsion modules over valuation domains
- Affine actions on nilpotent Lie groups
- On the birational geometry of moduli spaces of pointed curves
Artikel in diesem Heft
- Applications of Multivariate Asymptotics I: Boundedness of a maximal operator on
- Geodesic flow of the averaged controlled Kepler equation
- Hyperbolicity in unbounded convex domains
- Explicit connections with SU(2)-monodromy
- Eigentheory of Cayley-Dickson algebras
- Alternators in the Cayley-Dickson algebras
- Cohomological characterisation of Steiner bundles
- Sigma-cotorsion modules over valuation domains
- Affine actions on nilpotent Lie groups
- On the birational geometry of moduli spaces of pointed curves
