摘要翻译:
研究特征2中的二元插值问题。给出了一个非负整数$T$,描述了所有由单项式生成的次线性系统,其中没有曲线通过重数至少为$2T$的一般点。作为应用,我们证明了一类具有10个基点的平面曲线线性方程组是非特殊的。
---
英文标题:
《Characteristic 2 approach to bivariate interpolation problems》
---
作者:
Kyungyong Lee
---
最新提交年份:
2007
---
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
--
一级分类:Mathematics 数学
二级分类:Numerical Analysis 数值分析
分类描述:Numerical algorithms for problems in analysis and algebra, scientific computation
分析和代数问题的数值算法,科学计算
--
---
英文摘要:
We investigate bivariate interpolation problems in characteristic 2. Given a nonnegative integer $t$, we describe all the sub-linear systems generated by monomials, in which there is no curve passing through a general point with multiplicity at least $2^t$. As an application, we show that a certain linear system of plane curves with 10 base points is non-special.
---
PDF链接:
https://arxiv.org/pdf/0708.3514