On minimality of determinantal varieties

التفاصيل البيبلوغرافية
العنوان: On minimality of determinantal varieties
المؤلفون: Khazhgali Kozhasov
المصدر: Linear Algebra and its Applications. 626:56-78
بيانات النشر: Elsevier BV, 2021.
سنة النشر: 2021
مصطلحات موضوعية: Mathematics - Differential Geometry, Numerical Analysis, Algebra and Number Theory, Rank (linear algebra), 010102 general mathematics, MathematicsofComputing_NUMERICALANALYSIS, 010103 numerical & computational mathematics, Space (mathematics), 01 natural sciences, Combinatorics, Mathematics - Algebraic Geometry, 14P05, 14M12, 15A03, 15A15, 15A18, 49Q05, 53A10, 2 × 2 real matrices, Differential Geometry (math.DG), ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION, FOS: Mathematics, Discrete Mathematics and Combinatorics, Symmetric matrix, Geometry and Topology, 0101 mathematics, Algebraic Geometry (math.AG), Eigenvalues and eigenvectors, Mathematics
الوصف: We prove that semialgebraic sets of rectangular matrices of a fixed rank, of skew-symmetric matrices of a fixed rank and of real symmetric matrices whose eigenvalues have prescribed multiplicities are minimal submanifolds of the space of real matrices of a given size.
تدمد: 0024-3795
URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::118cf646abefac3d25b2253a5c3c612e
https://doi.org/10.1016/j.laa.2021.05.011
حقوق: OPEN
رقم الأكسشن: edsair.doi.dedup.....118cf646abefac3d25b2253a5c3c612e
قاعدة البيانات: OpenAIRE