Relations of Normal Bundles and Flips of Small Contractions on Projective Manifolds
Keyword(s):
Let X be a smooth projective variety over the complex number field. Let f : X → Y be a small contraction, and suppose that each irreducible component Ei of the exceptional locus E of f is a smooth subvariety. Assume that dim E ≤ ½ ( dim X + 1), and the normal bundle [Formula: see text]. Then each Ei ≅ P dim Ei or Q dim Ei. Moreover, the flip f+ : X+ → Y of f exists.
1995 ◽
Vol 118
(1)
◽
pp. 183-188
2015 ◽
Vol 160
(2)
◽
pp. 257-277
◽
Keyword(s):
2010 ◽
Vol 10
(2)
◽
pp. 225-234
◽
1998 ◽
Vol 41
(3)
◽
pp. 267-278
◽
1993 ◽
Vol 1993
(439)
◽
pp. 147-158
◽