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Study on the Structures of Projective Manifolds Polarized by an Ample Line Bundle

Author: HuangQun
Tutor: ZhaoYiCai
School: Jinan University
Course: Basic mathematics
Keywords: Projective manifold Rich line bundles nef value Fano cluster Contraction mapping Superquadric
CLC: O186.12
Type: Master's thesis
Year: 2011
Downloads: 9
Quote: 0
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Abstract


The ways of this study is to explore the manifold structure nef value through the the projective manifolds rich line bundles , the main advantage of Mori theory , to study the structure of n-dimensional projective manifold . The results : Let X is an n- dimensional projective manifold , L is the rich line bundles X , τ = u_ L nef value . If the second Bettiv X number is 1, then X is the index for the u Fano manifolds ; if u = n 1 , then X is Pn ; if u = n , then X is Q \Cong .

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CLC: > Mathematical sciences and chemical > Mathematics > Geometry, topology > Differential geometry,integral geometry > Differential Geometry > Riemannian geometry
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