A Numerical Characterization of Polarized Manifolds with by the th Sectional Geometric Genus and the th -genus
Yoshiaki Fukuma
Kochi University, Japan
![A Numerical Characterization of Polarized Manifolds $(X,\mathcal{L})$ with $K_{X}=-(n-i)\mathcal{L}$ by the $i$th Sectional Geometric Genus and the $i$th $\Delta$-genus cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-prims-volume-48-issue-1.png&w=3840&q=90)
Abstract
Let be a polarized manifold of dimension . In this paper, by using the th sectional geometric genus and the th -genus, we will give a numerical characterization of with for the following cases (i) , (ii) and , (iii) .
Cite this article
Yoshiaki Fukuma, A Numerical Characterization of Polarized Manifolds with by the th Sectional Geometric Genus and the th -genus. Publ. Res. Inst. Math. Sci. 48 (2012), no. 1, pp. 83–106
DOI 10.2977/PRIMS/62