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January, 2004 IRREGULAR MANIFOLDS WHOSE CANONICAL SYSTEM IS COMPOSED OF A PENCIL
JIN-XING CAI , ECKART VIEHWEG
Asian J. Math. 8(1): 027-038 (January, 2004).

Abstract

Let X be a complex projective n-dimensional manifold of general type whose canonical system is composite with a pencil. If the Albanese map is generically finite, but not surjective, or if the irregularity is strictly larger than n and the image of X in Alb(X) is of Kodaira dimension one, then the geometric genus pg(F) of a general fibre F of the canonical map is one and the latter factors through the Albanese map. The last part of this result holds true for any threefold with q(X) ≥ 5.

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JIN-XING CAI . ECKART VIEHWEG . "IRREGULAR MANIFOLDS WHOSE CANONICAL SYSTEM IS COMPOSED OF A PENCIL." Asian J. Math. 8 (1) 027 - 038, January, 2004.

Information

Published: January, 2004
First available in Project Euclid: 21 June 2004

zbMATH: 1075.14038
MathSciNet: MR2128295

Rights: Copyright © 2004 International Press of Boston

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Vol.8 • No. 1 • January, 2004
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