An algorithm to bound the regularity and nonemptiness of linear systems in Pn
An algorithm to bound the regularity and nonemptiness of linear systems in Pn
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限制 Pn 线性系统正则性和非空性的算法
DOI：
10.1016/j.jsc.2009.04.005
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
M. Dumnicki
中科院分区：
文献类型：
--
作者：
M. Dumnicki
本文的主要目的是提出一个新的算法界定的正则性和“alpha”（现有的超曲面的最低程度）的线性系统的超曲面在Pn通过多个点在一个一般的位置。要做到这一点，我们制定并证明了一个新的定理，它允许我们显示一个线性系统的非特殊性分裂成非特殊的和更简单的系统。因此，我们给出了P2上多点Seshadri常数的新的界。
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 Pnpassing through multiple points in a general position. To do the above we formulate and prove a new theorem, which allows us to show the non-speciality of a linear system by splitting it into non-special and simpler systems. As a result we give new bounds for multiple point Seshadri constants on P2.