On the sectional invariants of polarized manifolds |
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Authors: | Yoshiaki Fukuma |
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Institution: | Department of Mathematics, Faculty of Science, Kochi University, Akebono-cho, Kochi 780-8520, Japan |
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Abstract: | Let (X,L) be a polarized manifold of dimension n. In this paper, for any integer i with 0≤i≤n we introduce the notion of the ith sectional invariant of (X,L). We define the ith sectional Euler number ei(X,L), the ith sectional Betti number bi(X,L), and the ith sectional Hodge number of type (j,i−j) of (X,L) and we will study some properties of these. |
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Keywords: | Primary 14C20 secondary 14C17 14C30 14C40 14J30 14J35 14J40 |
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