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On Determinantal Varieties of Hankel Matrices
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-28
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Let ℌ be a class of n×n Hankel matrices HA whose entries, depending on a given matrix A, are linear forms in n variables with coefficients in a finite field ?q.
For every matrix in ℌ, it is shown that the varieties specified by the leading minors of orders from 1 to n-1 have the same number qn-1 of points in ?qn.
Further properties are derived, which show that sets of varieties, tied to a given Hankel matrix, resemble a set of hyperplanes as regards the number of points of their intersections.
American Psychological Association (APA)
Ballico, Edoardo& Elia, Michele. 2014. On Determinantal Varieties of Hankel Matrices. Algebra،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-512322
Modern Language Association (MLA)
Ballico, Edoardo& Elia, Michele. On Determinantal Varieties of Hankel Matrices. Algebra No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-512322
American Medical Association (AMA)
Ballico, Edoardo& Elia, Michele. On Determinantal Varieties of Hankel Matrices. Algebra. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-512322
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-512322