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是极面收缩态射,其支撑除子为KX+(n-4)L.如果X与Y不是双有理等价的,那么(X,L)是一类特殊的代数簇.文中给出了(X,L)的结构的完整分类.
Let X be a nonsingular variety of dimension n, L be an ample line bundle over X and Kx be the canonical line bundle over X. Let f: X→Y be a contraction morphism of extremal face from X to Y with supporting divisor Kx + ( n - 4 ) L. Suppose that X is not birational equivalent to Y, then ( X, L) must be a class of special varieties. The complete classification of (X,L) is obtained.
出处
《暨南大学学报(自然科学与医学版)》
CAS
CSCD
北大核心
2013年第3期260-262,共3页
Journal of Jinan University(Natural Science & Medicine Edition)
基金
国家自然科学基金项目(61070165)
关键词
射影簇
丰富线丛
极面收缩态射
纤维化
projective variety
ample line bundle
contraction of extremal face
fibration