Brill-Noether Theory for Rank Two Vector Bundles Generated by Their Sections

作     者：Jian Do XIAO Xiao Jiang TAN 

作者机构：School of Mathematical Sciences Peking University Beijing 100871 P. R. China School of Mathematics Southwest Jiaotong University Chengdu 611756 P. R. China LMAM and School of Mathematical Sciences Peking University Beijing 100871 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2008年第24卷第12期

页      面：1995-2010页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：rank two vector bundle vanishing theorem Clifford theorem existence theorem 

摘      要：We here study the Brill-Noether theory for rank two vector bundles generated by their sections. We generalize the vanishing theorem, the Clifford theorem and the existence theorem to such bundles.