Departmental Bulletin Paper ON SECTIONAL GENUS OF MULTI-QUASI-POLARIZED MANIFOLDS

Fukuma, Yoshiaki

69 ( 1 )  , pp.49 - 62 , 2015-06-09 , Faculty of Mathematics, Kyushu University
ISSN:1340-6116
NCID:AA10994346
Description
Let X be a smooth complex projective variety of dimension n and let L_1,... , L_<n−1> be nef and big line bundles on X. In this paper, we prove the non-negativity of the sectional genus g1(X, L_1,... , L_<n−1>). We also study multi-quasi-polarized manifolds (X, L_1,... , L_<n−1>) with g1(X, L_1,... , L_<n−1>) = 0.

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