A generalization of the *-genus of quasi-polarized varieties

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概要

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• Let (X, L) be a quasi-polarized variety defined over the complex number field. Then there are several invariants of (X, L), for example, the sectional genus and the \vD-genus. In this paper we introduce the i-th \vD-genus \vD<SUB>i</SUB>(X, L) for every integer i with 0≤ i≤ n=\dim X. This is a generalization of the \vD-genus. Furthermore we study some properties of \vD<SUB>i</SUB>(X, L) and we will propose some problems.

• 社団法人 日本数学会の論文
• 2005-10-01

著者

• Fukuma Yoshiaki

  Department Of Mathematics Faculty Of Science Kochi University

関連論文

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• On the C_r-sectional geometric genus of generalized polarized manifolds
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• A lower bound for sectional genus of quasi-polarized manifolds
• A generalization of the *-genus of quasi-polarized varieties
• On invariants of polynomial functions
• A Numerical Characterization of Polarized Manifolds ($\mathit{X},\mathcal{L}$) with $\mathit{K_X=-(n-i)}\mathcal{L}$ by the $\mathit{i}$th Sectional Geometric Genus and the $i$th $\Delta$-genus
• A LOWER BOUND FOR $ K_x L^2 $ OF POLARIZED 3-FOLDS $ (X,L) $ OF GENERAL TYPE

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