Simple normal crossing Fano varieties and log Fano manifolds
Algebraic Geometry
2015-01-14 v2
Abstract
A projective log variety (X, D) is called "a log Fano manifold" if X is smooth and if D is a reduced simple normal crossing divisor on X with -(K_X+D) ample. The n-dimensional log Fano manifolds (X, D) with nonzero D are classified in this article when the log Fano index r of (X, D) satisfies either r\geq n/2 with \rho(X)\geq 2 or r\geq n-2. This result is a partial generalization of the classification of logarithmic Fano threefolds by Maeda.
Keywords
Cite
@article{arxiv.1206.1994,
title = {Simple normal crossing Fano varieties and log Fano manifolds},
author = {Kento Fujita},
journal= {arXiv preprint arXiv:1206.1994},
year = {2015}
}
Comments
38 pages, minor revision; correct Theorem 2.7 and add references