Asian Journal of Mathematics

IRREGULAR MANIFOLDS WHOSE CANONICAL SYSTEM IS COMPOSED OF A PENCIL

JIN-XING CAI and ECKART VIEHWEG

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.

Article information

Source
Asian J. Math., Volume 8, Number 1 (2004), 027-038.

Dates
First available in Project Euclid: 21 June 2004

Permanent link to this document
https://projecteuclid.org/euclid.ajm/1087840906

Mathematical Reviews number (MathSciNet)
MR2128295

Zentralblatt MATH identifier
1075.14038

Citation

CAI, JIN-XING; VIEHWEG, ECKART. IRREGULAR MANIFOLDS WHOSE CANONICAL SYSTEM IS COMPOSED OF A PENCIL. Asian J. Math. 8 (2004), no. 1, 027--038. https://projecteuclid.org/euclid.ajm/1087840906


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