Vector spaces of skew-symmetric matrices of constant rank
TLDR
In this paper, the authors studied the orbits of vector spaces of skew-symmetric matrices of constant rank 2 r and type ( N + 1 ) × ( N+ 1 ) over an algebraically closed field of characteristic zero.About:
This article is published in Linear Algebra and its Applications.The article was published on 2011-06-15 and is currently open access. It has received 18 citations till now. The article focuses on the topics: Vector bundle & Vector-valued differential form.read more
Citations
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Journal ArticleDOI
The Theory of Matrices. By F R. Gantmacher. Two volumes, pp. 374 and 276. 1959. (Translated from the Russian by K. A. Hirsch; Chelsea Publishing Company, New York)
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On globally generated vector bundles on projective spaces
José Carlos Sierra,Luca Ugaglia +1 more
TL;DR: In this article, the authors extend the main result of Sierra and Ugaglia (2009) and classify globally generated vector bundles on Pn with first Chern class equal to 3.
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Rank two globally generated vector bundles with $c_{1}\leq5$
Ludovica Chiodera,Philippe Ellia +1 more
TL;DR: In this article, the authors classify globally generated rank two vector bundles on P n, n ≥ 3, with c 1 ≤ 5, and for one case (n = 3, c 1 = 5, c 2 = 12).
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Globally Generated Vector Bundles on P^n with c_1=4
TL;DR: One classifies the globally generated vector bundles on P^3 with the first Chern class c_1=3 as discussed by the authors, and the case c_ 1=3, rank=2 on P ^n was done by S.C. Huh.
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Linear spaces of matrices of constant rank and instanton bundles
TL;DR: In this article, the authors presented a new method to study 4-dimensional linear spaces of skew-symmetric matrices of constant co-rank 2, based on rank 2 vector bundles on P 3 and derived category tools.
References
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Book
The Theory of Matrices
TL;DR: In this article, the Routh-Hurwitz problem of singular pencils of matrices has been studied in the context of systems of linear differential equations with variable coefficients, and its applications to the analysis of complex matrices have been discussed.
Book
Algebraic Geometry: A First Course
TL;DR: In this article, the authors introduce the notion of Tangent Spaces to Grassmannians and describe the relationship between them and regular functions and maps. But they do not discuss their application in the context of dimension computations.
Journal ArticleDOI
Vector spaces of matrices of low rank
David Eisenbud,Joe Harris +1 more
TL;DR: In this article, the authors studied vector spaces of matrices, all of whose elements have rank at most a given number, and solved this problem in case the sheaf in question has first Chern class equal to 1.
Related Papers (5)
On symmetric degeneracy loci, spaces of symmetric matrices of constant rank and dual varieties
Bo Ilic,Joseph M. Landsberg +1 more