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射影簇的双有理收缩态射的结构

Structure of Birational Contractions on Projective Varieties
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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KX+mL为支撑处子的双有理收缩态射(m≥1),F是f的任一纤维.文中证明了如果dimF=m+1,那么F的每个不可约分支同构于射影空间m+1或者超二次曲面m+1. Let X be a nonsingular projective variety of dimension n, L be an ample line bundle over X and Kx be the canonical bundle over X. Let fiX--＋ Y be the birational contraction from X to Y with supporting divisor Kx＋mLfor somem〉l, Fbe any generic fiber of f. If dimF=m＋l, then each irreducible component of Fis isomorphic to projective space P＋1 or hyperquadric Q^m＋1
作者 余金杯 赵逸才
机构地区 暨南大学数学系
出处 《长春理工大学学报（自然科学版）》 2013年第1期161-163,共3页 Journal of Changchun University of Science and Technology(Natural Science Edition)
基金 国家自然科学基金资助项目(61070165)
关键词 射影簇 丰富线丛 收缩态射 纤维 Projective variety ample line bundle contraction morphism fiber
分类号 O181 [理学—基础数学]
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参考文献13

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二级参考文献9

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长春理工大学学报（自然科学版）
2013年 第1期

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