Seshadri constants and the spaces of curves with prescribed singularities and positions |
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| Authors: | GAO Yun & TAN Sheng-Li |
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| Affiliation: | GAO Yun 1 & TAN Sheng-Li 2 1 Department of Mathematics,Shanghai Jiao Tong University,Shanghai 200240,China,2 Department of Mathematics,East China Normal University,Shanghai 200241 |
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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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| Keywords: | Seshadri constant topological type curve singularities k-very ample |
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