摘要翻译：
本文的主要目的是给出一个新的算法，它将线性超曲面系统(in$\mathbbp^n$)的正则性和存在超曲面的最低度限定在一起。为此，我们提出并证明了一个新的定理，该定理允许通过将线性系统分解为非特殊（更简单）的系统来表示线性系统的非特殊。因此，我们在$\pp^2$上给出了多点Seshadri常数的新界。
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英文标题：
《Regularity and non-emptyness of linear systems in $\mathbb P^n$》
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作者：
Marcin Dumnicki
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最新提交年份：
2008
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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：
  The main goal of this paper is to present a new algorithm bounding the regularity and ``alpha'' (the lowest degree of existing hypersurface) of a linear system of hypersurfaces (in $\mathbb P^n$) passing through multiple points in general position. To do the above we formulate and prove new theorem, which allows to show non-specialty of linear system by splitting it into non-special (and simpler) systems. As a result we give new bounds for multiple point Seshadri constants on $\PP^2$.
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PDF链接：
https://arxiv.org/pdf/0802.0925