Seshadri constants and the spaces of curves with prescribed singularities and positions

作     者：GAO Yun TAN Sheng-Li 

作者机构：Department of MathematicsShanghai Jiao Tong UniversityShanghai 200240China Department of MathematicsEast China Normal UniversityShanghai 200241China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2011年第54卷第8期

页      面：1611-1620页

核心收录：

学科分类：07[理学] 08[工学] 080203[工学-机械设计及理论] 070104[理学-应用数学] 0802[工学-机械工程] 0701[理学-数学] 

基　　金：supported by National Natural Science Foundation of China (Grant No.10731030) Science Foundations of the Education Ministry of China STCSM Foundation of Shanghai supported by the Innovation Program of Shanghai Municipal Education Commission (GrantNo. 11ZZ18) 

主　　题：Seshadri constant topological type curve singularities k-very ample 

摘      要：We will give optimal bounds for Seshadri constants of an ample line bundle at multiple points on a complex projective surface *** also present a solution to the long-studied classical problem on the existence of curves on X with given topological singularities at r arbitrary points p1,...,***,we obtain a universal lower bound on the degree of curves for the *** is independent of the position of the singular points.