摘要
We will give optimal bounds for Seshadri constants of an ample line bundle at multiple points on a complex projective surface X.We 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,...,pr.Namely,we obtain a universal lower bound on the degree of curves for the existence.It is independent of the position of the singular points.
We will give optimal bounds for Seshadri constants of an ample line bundle at multiple points on a complex projective surface X.We 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,...,pr.Namely,we obtain a universal lower bound on the degree of curves for the existence.It is independent of the position of the singular points.
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)
关键词
曲线
奇点
间规
常量
任意点
奇异性
奇异点
投影
Seshadri constant
topological type
curve singularities
k-very ample
