[数学] 表面Seshadri常数的离散行为 [推广有奖]

摘要翻译：
在C上，我们证明了光滑射影曲面上一般点的多点Seshadri常数的可能值除了一个唯一的极限点之外，构成一个离散集。这一结果除了具有理论意义外，还具有实用价值。我们给出了P^2上Seshadri常数的显式下界的显式改进和P^2在一般点上爆破的丰满因子的新结果。
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英文标题：
《Discrete behavior of Seshadri constants on surfaces》
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作者：
Brian Harbourne, Joaquim Roe
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最新提交年份：
2007
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分类信息：

一级分类：Mathematics        数学
二级分类：Algebraic Geometry        代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
  Working over C, we show that, apart possibly from a unique limit point, the possible values of multi-point Seshadri constant for general points on smooth projective surfaces form a discrete set. In addition to its theoretical interest, this result is of practical value, which we demonstrate by giving significantly improved explicit lower bounds for Seshadri constants on P^2 and new results about ample divisors on blow ups of P^2 at general points.
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PDF链接：
https://arxiv.org/pdf/0709.3937