On secant dimensions and identifiability of flag varieties

被引：1
|
作者：
Freire, Ageu Barbosa [1 ]
Casarotti, Alex [2 ]
Massarenti, Alex [2 ]
机构：
[1] Univ Fed Fluminense, Inst Matemat & Estat, Campus Gragoata,Rua Alexandre Moura 8, BR-24210200 Niteroi, RJ, Brazil
[2] Univ Ferrara, Dipartimento Matemat & Informat, Via Machiavelli 30, I-44121 Ferrara, Italy
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2022年 / 226卷 / 06期
关键词：
Flag varieties; Secant varieties; Identifiability; CANONICAL POLYADIC DECOMPOSITION; SEGRE VARIETIES; UNIQUENESS; TENSORS; DEFECTIVITY;
D O I：
10.1016/j.jpaa.2021.106969
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the secant dimensions and the identifiability of flag varieties parametrizing flags of subspaces of a fixed vector space. We give numerical conditions ensuring that secant varieties of flag varieties have the expected dimension, and that a general point on these secant varieties is identifiable. (c) 2021 Elsevier B.V. All rights reserved.
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页数：28
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