On Polarized Manifolds of Sectional Genus Three

1994/02/14 by Hironobu Ishihara, Ishihara, Hironobu
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9402010

21 pages, AmS-TeX 2.1

arxiv created 1994/02/14 · openalex publication_date 1994/02/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is an attempt for the classification of polarized manifolds of sectional genus g=3 and dimension n≥ 3. As in the case of g≤ 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.

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