三维光滑复射影簇上全纯曲线的退化性  

Degeneracy of Holomorphic Curves on Threefolds

作　　者：颜启明[1] 朱磊[1] 

机构地区：[1]复旦大学数学科学学院,上海200433

出　　处：《数学学报（中文版）》2008年第5期901-910,共10页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(10571135);复旦研究生创新基金资助项目(EYH5928004)

摘　　要：讨论三维光滑复射影簇X上全纯曲线f:C→X的退化性.设D_1…,D_r为X上处于一般位置的相异的不可约有效除子.假定D_1…,D_r均为nef除子,而且存在正整数n_1…,n_r,c,使得n_in_jn_k(D_i.D_j.D_k)=c对所有i,j,k均成立.如果f的像取不到D_1…,D_r上的点,那么只要r≥11,f必定代数退化,即它的像包含于X的某个代数真子集中.We consider the degeneracy of holomorphic curve f from C to a complex nonsingular projective variety X of dimension 3. Let D1,..., Dr be distinct irreducible effective and nef divisors on X located in general position. Assume that there exist positive integers nl , nr, c, such that ninjnk（Di.Dj.Dk） = c for any i, j, k. If r≥ 11 and the image of f omits D1,…,Dr, then f is algebraically degenerate, i.e., its image is contained in a proper algebraic subset of X.

关 键 词：值分布理论 全纯曲线 除子 代数退化 

分 类 号：O174.56[理学—数学]