Invariants of ample line bundles on projective varieties and their applications, I



Kodai Mathematical Journal

Invariants of ample line bundles on projective varieties and their applications, I

Yoshiaki Fukuma

Source: Kodai Math. J. Volume 31, Number 2 (2008), 219-256.

Abstract

Let X be a projective variety of dimension n defined over the field of complex numbers and let L1, ..., Ln-i be ample line bundles on X, where i is an integer with 0 ≤ in. In this paper, first, we define some invariants called the ith sectional H-arithmetic genus, the ith sectional geometric genus and the ith sectional arithmetic genus of (X,L1, ..., Ln-i). These are considered to be a generalization of invariants which have been defined in our previous papers. Moreover we investigate some basic properties of these, which are used in the second part and the third part of this work.

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.kmj/1214442796
Digital Object Identifier: doi:10.2996/kmj/1214442796
Mathematical Reviews number (MathSciNet): MR2435893


2008 © Tokyo Institute of Technology, Department of Mathematics