A note on threefolds with a hyperplane section of general type
β 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.
β¦ 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.
π SIMILAR VOLUMES
Recall 6 that a zero dimensional subscheme of a projective space βΈ is Ε½ said to be in linearly general position or in linear general position in the w x. terminology of 1 if every subscheme W : Z spans a linear subspace of βΈ Γ Ε½ . Ε½ . 4