Classification of generalized polarized manifolds by their nef values
Algebraic Geometry
2007-05-23 v1
Abstract
Let (M,E) be a generalized polarized manifold, i.e., a pair of an n-dimensional smooth projective variety and an ample vector bundle E of rank r on M. Let t be the nef value of a polarized manifold (M, det E), i.e., the minimum of the set of real numbers s such that K+s det E is nef; we have tr<= n+1 by Mori's theory. In this paper we classify the pairs (M,E) in the following two cases: (1) n-2<= tr and t >= 1; (2) n+1-tr< t <= 1.
Cite
@article{arxiv.math/0503119,
title = {Classification of generalized polarized manifolds by their nef values},
author = {Masahiro Ohno},
journal= {arXiv preprint arXiv:math/0503119},
year = {2007}
}
Comments
53 pages