On the Rank of a Binary Form

被引：85

作者：

Comas, Gonzalo ^{[1
]}

Seiguer, Malena ^{[1
]}

机构：

[1] FCEyN UBA, Dept Matemat, RA-1428 Buenos Aires, Argentina

来源：

FOUNDATIONS OF COMPUTATIONAL MATHEMATICS | 2011年 / 11卷 / 01期

关键词：

Tensor rank; Waring's problem; Binary forms;

D O I：

10.1007/s10208-010-9077-x

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We describe in the space of binary forms of degree d the strata of forms having a given rank. We also give a simple algorithm for determining the rank of a given form.

引用

页码：65 / 78

页数：14

共 19 条

[1]

Alexander J., 1995, J. Algebraic Geom., V4, P201

[2]

[Anonymous], 1886, J. Reine Angew. Math.

[3]

Boij M., 2010, ARXIV10053050V1

[4]

Buczynski J., 2010, ARXIV09094865

[5] Ranks of tensors, secant varieties of Segre varieties and fat points [J].

Catalisano, MV ;

Geramita, AV ;

Gimigliano, A .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 355 :263-285

[6]

Causa A., 2010, ARXIV10065127

[7]

Chen G., 2002, COMPUTATIONAL MATH S

[8]

Ciliberto C, 2001, PROG MATH, V201, P289

[9]

Common P., 2009, ARXIV09094865

[10]

ELLIOTT EB, 1895, INTRO ALGEBRA QUANTI

← 1 2 →