Geodesic
On the Nonemptiness of the Adjoint Linear System of Polarized Manifolds
Canadian mathematical bulletin, Tome 41 (1998) no. 3, pp. 267-278

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Let $(X,L)$ be a polarized manifold over the complex number field with dim $X=n$ . In this paper, we consider a conjecture of M. C. Beltrametti and A. J. Sommese and we obtain that this conjecture is true if $n=3$ and ${{h}^{0}}\,(L)\,\ge \,2$ , or $\dim\,\text{Bs}|L|\le 0$ for any $n\ge 3$ . Moreover we can generalize the result of Sommese.
DOI : 10.4153/CMB-1998-039-9
Mots-clés : 14C20, 14J99, Polarized manifold, adjoint bundle 
Fukuma, Yoshiaki. On the Nonemptiness of the Adjoint Linear System of Polarized Manifolds. Canadian mathematical bulletin, Tome 41 (1998) no. 3, pp. 267-278. doi: 10.4153/CMB-1998-039-9
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     title = {On the {Nonemptiness} of the {Adjoint} {Linear} {System} of {Polarized} {Manifolds}},
     journal = {Canadian mathematical bulletin},
     pages = {267--278},
     year = {1998},
     volume = {41},
     number = {3},
     doi = {10.4153/CMB-1998-039-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-039-9/}
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