On Polarized Manifolds of Sectional Genus Three

Hironobu Ishihara

On Polarized Manifolds of Sectional Genus Three

alg-geom 2008-02-03 v1 Algebraic Geometry

Authors: Hironobu Ishihara

Abstract

This paper is an attempt for the classification of polarized manifolds of sectional genus $g=3$ and dimension $n\geq 3$ . As in the case of $g\leq 2$ ,which was classified by T.Fujita,we use Mori-Kawamata theory. The classification result of $g=3$ and $n=2$ , which was obtained by H.Maeda,is also used essentially. Although our results are far from being complete, they are very similar to those in case $g=2$ .

Keywords

polarized manifolds sectional genus Mori-Kawamata theory classification

Cite

@article{arxiv.alg-geom/9402010,
  title  = {On Polarized Manifolds of Sectional Genus Three},
  author = {Hironobu Ishihara},
  journal= {arXiv preprint arXiv:alg-geom/9402010},
  year   = {2008}
}

Comments

21 pages, AmS-TeX 2.1

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