Dissertation
Dissertation > Mathematical sciences and chemical > Mathematics > Geometry, topology > Algebraic Geometry > Cluster ( algebraic varieties )

Flip of Small Contraction on Odd-dimensional Projective Variety

Author LiangZhiGang
Tutor ZhaoYiCai
School Jinan University
Course Basic mathematics
Keywords Projective cluster Small contraction mapping Turn Exceptional set
CLC O187.2
Type Master's thesis
Year 2007
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This paper studies when X is smooth Civita projective cluster , small contraction mapping f : X → Y of the flip f < / sup > : the X < / sup > → Y of existence . The main results are: Let X be a 7 ??- dimensional smooth projective cluster f : X → Y is a small contraction mapping . exceptional set of f E irreducible the branch E i < / sub > are smooth 4-dimensional sub - cluster . If the normal bundle N E i < / sub > / X ( ? ) O E i < / sub > ( -1 ) , then each E << / sub> sub> i (?) P 4 or Q , 4 . Flip and small contraction mapping f f = X → Y, is the flip guess ( E ) 7 < / sub > established . Here P 4 is 4-dimensional complex projective space and , Q 4 P 5 in 4-dimensional Superquadric .

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