On linear spaces of skew-symmetric matrices of constant rank

被引：0

作者：

L. Manivel

E. Mezzetti

机构：

[1] Institut Fourier,Dipartimento di Matematica e Informatica

[2] UMR 5582 (UJF-CNRS),undefined

[3] Università di Trieste,undefined

来源：

manuscripta mathematica | 2005年 / 117卷

关键词：

Linear System; Number Theory; Linear Space; Algebraic Geometry; Topological Group;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Motivated by the study of congruences of lines, we consider linear systems of skew-symmetric matrices of order six and constant rank four. We prove that, up to projective automorphisms, there exist exactly four types of such linear systems of dimension two, giving four families all of the same dimension.

引用

页码：319 / 331

页数：12

共 50 条

[31] Skew-symmetric matrices and their principal minors
Boussairi, Abderrahim
Chergui, Brahim
LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 485 : 47 - 57
[32] The antitriangular factorization of skew-symmetric matrices
Singer, Sanja
APPLIED MATHEMATICS AND COMPUTATION, 2020, 381
[33] Block triangularization of skew-symmetric matrices
Iwata, S
LINEAR ALGEBRA AND ITS APPLICATIONS, 1998, 273 : 215 - 226
[34] Complex skew-symmetric conference matrices
Et-Taoui, Boumediene
Makhlouf, Abdenacer
LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (21): : 6648 - 6663
[35] Orthogonal invariants of skew-symmetric matrices
Lopatin, A. A.
LINEAR & MULTILINEAR ALGEBRA, 2011, 59 (08): : 851 - 862
[36] Skew-symmetric matrices and Palatini scrolls
Daniele Faenzi
Maria Lucia Fania
Mathematische Annalen, 2010, 347 : 859 - 883
[37] Skew-symmetric matrices and Palatini scrolls
Faenzi, Daniele
Fania, Maria Lucia
MATHEMATISCHE ANNALEN, 2010, 347 (04) : 859 - 883
[38] Multiple Factorization of Skew-Symmetric Matrices
B. N. Yengibaryan
N. B. Yengibaryan
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2022, 57 : 283 - 288
[39] Principally Unimodular Skew-Symmetric Matrices
André Bouchet
W. H. Cunningham
J. F. Geelen
Combinatorica, 1998, 18 : 461 - 486
[40] Standard identities for skew-symmetric matrices
Hill, Jordan Dale
LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 429 (04) : 792 - 803

← 1 2 3 4 5 →