Irregular manifolds with a canonical linear system, composite with a pencil
Algebraic Geometry
2007-05-23 v1 Complex Variables
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 its Albanese variety of Kodaira dimension one, then the geometric genus of a general fibre 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 irregularity 5 or larger.
Cite
@article{arxiv.math/0303196,
title = {Irregular manifolds with a canonical linear system, composite with a pencil},
author = {Jin-Xing Cai and Eckart Viehweg},
journal= {arXiv preprint arXiv:math/0303196},
year = {2007}
}
Comments
11 pages, AMSLaTeX