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A note on threefolds with a hyperplane section of general type

✍ Scribed by M. A. Cataldo; M. Palleschi


Publisher
Springer
Year
1996
Tongue
English
Weight
586 KB
Volume
61
Category
Article
ISSN
0046-5755

No coin nor oath required. For personal study only.

✦ Synopsis


This paper deals with polarized pairs (Jr, L), where 3~ is a nonsingular projective threefold and L is a very ample line bundle on it, such that for one smooth member.4 E ILl, one has x(_4) = 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.

Mathematics Subject Classifications (1991). 14C20, 14J30.


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