| 一类射影簇的数值有效收缩态射的结构 |
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| 引用本文： | 邓芳芳. 一类射影簇的数值有效收缩态射的结构[J]. 广东职业技术师范学院学报, 2014, 0(7): 10-11 |
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| 作者姓名： | 邓芳芳 |
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| 作者单位： | 广东开放大学,广东广州510091 |
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| 摘 要： | 设X是n维非奇异射影簇,L是X上的丰富线丛,KX是X的典范丛,f：X→Y是以为KX＋mL支撑除子的收缩态射（m≥1）,F是f的任一纤维.文中证明了,如果dimF=m,那么F同构于m维射影空间Pm或者m＋1维射影空间Pm＋1中的超二次曲面Qm.
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| 关 键 词： | 射影簇 丰富线丛 收缩态射 纤维 |
Structure of a Nef Contraction on Projective Varieties |
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| DENG Fang-fang. Structure of a Nef Contraction on Projective Varieties[J]. Journal of Guangdong Polytechnical Normal University, 2014, 0(7): 10-11 |
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| Authors: | DENG Fang-fang |
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| Affiliation: | DENG Fang-fang (The Open University of Guangdong,Guangzhou 510091) |
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| Abstract: | Letbe a nonsingular projective variety of dimension, be an ample line bundle overand be the canonical bundle over. Letbe the nef contraction fromtowith supporting divisor for some, be any generic fiber of. if, dimF=m then F is isomorphic to projective space or hyperquadrie in. |
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| Keywords: | projective variety ample line bundle contraction morphism fiber |
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