$\mathbb P^n$中线性系的正则性和非空性
Regularity and non-emptyness of linear systems in $\mathbb P^n$
摘要：
本文的主要目的是提出一个新的算法，界定的正则性和"阿尔法“（现有超曲面的最低程度）的线性系超曲面（$\mathbb P^n$）通过重点在一般的位置。为此，我们提出并证明了一个新的定理，该定理通过将线性系分解为非特殊（且更简单）的系统来证明其非特殊性。从而给出了$\PP^2$上重点Seshadri常数的新的界.
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 $\PP^2$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
