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

Yun Gao; Sheng Li Tan

doi:10.1007/s11425-010-4124-2

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

Yun Gao
, Sheng Li Tan^*

^*此作品的通讯作者

数学科学学院

Shanghai Jiao Tong University

科研成果: 期刊稿件 › 文章 › 同行评审

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,...,p_r. 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.

源语言	英语
页（从-至）	1611-1620
页数	10
期刊	Science China Mathematics
卷	54
期	8
DOI	https://doi.org/10.1007/s11425-010-4124-2
出版状态	已出版 - 8月 2011

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abstract = "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.",

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KW - curve singularities

KW - k-very ample

KW - topological type

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

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