A view on extending morphisms from ample divisors

被引:0
|
作者
Beltrametti, Mauro C. [1 ]
Ionescu, Paltin [2 ,3 ]
机构
[1] Dipartimento Matemat, Via Dodecaneso 35, I-16146 Genoa, Italy
[2] Univ Bucharest, Fac Math & Comp Sci, RO-010014 Bucharest, Romania
[3] Romanian Acad, Inst Math, RO-014700 Bucharest, Romania
关键词
Ample divisors; extension of morphisms; comparing Kleiman-Mori cones; Pano manifolds and Fano fibrations; HYPERPLANE SECTION; FANO MANIFOLDS; EXTREMAL RAYS; VARIETIES; CLASSIFICATION; CONTRACTIONS; THREEFOLDS; ADJUNCTION; EXISTENCE; BUNDLES;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The philosophy that "a projective manifold is more special than any of its smooth hyperplane sections" was one of the classical principles of projective geometry. Lefschetz type results and related vanishing theorems were among the typically used techniques. We shall survey most of the problems, results and conjectures in this area, using the modern setting of ample divisors, and (some aspects of) Mori theory.
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页码:71 / +
页数:4
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