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The third and fourth pluricanonical maps of threefolds of general type
Published online by Cambridge University Press: 19 June 2014
Abstract
For a nonsingular projective threefold of general type X over the field of complex numbers, we show that the fourth pluricanonical map ϕ4 is not birational onto its image if and only if X is birationally fibred by (1,2)-surfaces, provided that vol(X) ≥ 303. We also have similar characterization of birationality of ϕ3.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 157 , Issue 2 , September 2014 , pp. 209 - 220
- Copyright
- Copyright © Cambridge Philosophical Society 2014
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