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Adjoint pluricanonical systems on varieties of general type
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Lorenzo Di Biagio
Published/Copyright:
July 11, 2013
Abstract
We study non-vanishing and birationality of big pluricanonical adjoint linear systems on a variety of general type X. In particular given L big and with sufficiently large volume, if X is a surface we prove that h0(2KX + L) 6= 0 and that j3KX + 2Lj gives a birational map; if X is a threefold we prove that h0(6KX + 5L) 6= 0 and that j8KX + 7Lj gives a birational map. We find analogous explicit results also for fourfolds of general type.
Published Online: 2013-07-11
Published in Print: 2013-07
© 2013 by Walter de Gruyter GmbH & Co.
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Articles in the same Issue
- Masthead
- Index and nullity of a family of harmonic tori in the sphere
- G-Fano threefolds, I
- G-Fano threefolds, II
- A local-to-global result for topological spherical buildings
- Biaffine polar spaces
- Adjoint pluricanonical systems on varieties of general type
- Hypersurfaces of revolution with proportional principal curvatures
- On metrically complete Bruhat–Tits buildings
- Veroneseans, power subspaces and independence
- Baer involutions and polarities in Moufang planes of characteristic two
- The Chern invariants for parabolic bundles at multiple points
