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The third and fourth pluricanonical maps of threefolds of general type

Published online by Cambridge University Press:  19 June 2014

JINSONG XU
JINSONG XU*
Affiliation:
Department of Mathematics, Fudan University, Shanghai, China. e-mail: jinsongxu@amss.ac.cn
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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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