Abstract
Let X be a smooth complex projective variety of dimension n and let L1, ..., Ln–i be ample line bundles on X, where i is an integer with 0 ≤ i ≤ n – 1. In the first part, we defined the ith sectional geometric genus gi(X, L1, ..., Ln–i) and the ith sectional H-arithmetic genus χiH(X, L1, ..., Ln–i) of (X, L1, ..., Ln–i). In this third part, we will investigate g2(X, L1, ..., Ln–2) and χ2H(X, L1, ..., Ln–2). Moreover we will give some applications of the sectional invariants of multi-polarized manifolds.
Citation
Yoshiaki Fukuma. "Invariants of ample line bundles on projective varieties and their applications, III." Kodai Math. J. 35 (2) 320 - 344, June 2012. https://doi.org/10.2996/kmj/1341401054
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