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A note on threefolds with a hyperplane section of general type
Authors:M A De Cataldo  M Palleschi
Institution:(1) Department of Mathematics, Washington University in St. Louis, Campus Box 1146, 63130-4899 St. Louis, MO, U.S.A.;(2) Dipartimento di Matematica F. Enriques, Via Saldini, 50, Milano, Italy
Abstract:This paper deals with polarized pairs 
$$\left( {\hat X,{\text{ }}\hat L} \right)$$
, where 
$$\hat X$$
is a nonsingular projective threefold and 
$$\hat L$$
is a very ample line bundle on it, such that for one smooth member  isin | 
$$\hat L$$
|, one has kappa(Â)=2. A large class of pairs whose adjoint line bundle is nef and big was indirectedly studied by Beltrametti and co-workers. We add some more information, both in this general case and also when the adjoint line bundle fails to be nef and big.
Keywords:14C20  14J30
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