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On the nonemptiness of the adjoint linear system of polarized manifold

  Published:1998-09-01
 Printed: Sep 1998
  • Yoshiaki Fukuma
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Abstract

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 $h^{0}(L)\geq 2$, or $\dim \Bs |L|\leq 0$ for any $n\geq 3$. Moreover we can generalize the result of Sommese.
Keywords: Polarized manifold, adjoint bundle Polarized manifold, adjoint bundle
MSC Classifications: 14C20, 14J99 show english descriptions Divisors, linear systems, invertible sheaves
None of the above, but in this section
14C20 - Divisors, linear systems, invertible sheaves
14J99 - None of the above, but in this section
 

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