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The Iitaka conjecture Cn,m in dimension six

Part of: Birational geometry

Published online by Cambridge University Press:  27 July 2009

Caucher Birkar
Caucher Birkar*
Affiliation:
DPMMS, Centre for Mathematical Sciences, Cambridge University, Wilberforce Road, Cambridge, CB3 0WB, UK (email: c.birkar@dpmms.cam.ac.uk)
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Abstract

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We prove that the Iitaka conjecture Cn,m for algebraic fibre spaces holds up to dimension six, that is, when n≤6.

Keywords

Iitaka conjectureminimal models

MSC classification

Secondary: 14E30: Minimal model program (Mori theory, extremal rays)
Type
Research Article
Information
Compositio Mathematica , Volume 145 , Issue 6 , November 2009 , pp. 1442 - 1446
Copyright
Copyright © Foundation Compositio Mathematica 2009

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