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Nonrational del Pezzo fibrations
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Ivan Cheltsov
Published/Copyright:
September 11, 2008
Abstract
Let X be a general divisor in |3M + nL| on the rational scroll Proj
where di and n are integers, M is the tautological line bundle, L is a fibre of the natural projection to ℙ1, and d1
d4 = 0. We prove that X is rational 
d1 = 0 and n = 1.
Received: 2007-01-23
Revised: 2007-06-25
Published Online: 2008-09-11
Published in Print: 2008-August
© de Gruyter 2008
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Articles in the same Issue
- A rigidity result for domains with a locally strictly convex point
- On the geometry of Grassmannian equivalent connections
- On Lie groups as quasi-Kähler manifolds with Killing Norden metric
- Relating the curvature tensor and the complex Jacobi operator of an almost Hermitian manifold
- A characterization of m-ovoids and i-tight sets of polar spaces
- On Grassmann secant extremal varieties
- Almost del Pezzo manifolds
- Projective models of K3 surfaces with an even set
- Nonrational del Pezzo fibrations
- Principal bundles over a smooth real projective curve of genus zero
