On linear spaces of skew-symmetric matrices of constant rank

DOI10.1007/s00229-005-0560-7zbMath1084.14050arXivmath/0410520OpenAlexW2950220941MaRDI QIDQ2487935

Laurent Manivel, Emilia Mezzetti

Publication date: 17 August 2005

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410520

zbMATH Keywords

linear congruences

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Representation theory for linear algebraic groups (20G05) Grassmannians, Schubert varieties, flag manifolds (14M15) Algebraic systems of matrices (15A30) Projective techniques in algebraic geometry (14N05)

Related Items (18)

Quadric surfaces in the Pfaffian hypersurface in ℙ¹⁴ ⋮ Spaces of matrices of constant rank and uniform vector bundles ⋮ Pfaffian lines and vector bundles on Fano threefolds of genus 8 ⋮ Systems of conservation laws with third-order Hamiltonian structures ⋮ Geometry of Lines and Degeneracy Loci of Morphisms of Vector Bundles ⋮ On globally generated vector bundles on projective spaces. II. ⋮ On a class of spaces of skew-symmetric forms related to Hamiltonian systems of conservation laws ⋮ Uniform Determinantal Representations ⋮ Topics on the geometry of rational homogeneous spaces ⋮ Moduli spaces of \(6\times 6\) skew matrices of linear forms on \(\mathbb{P}^4\) with a view towards intermediate Jacobians of cubic threefolds ⋮ Vector spaces of skew-symmetric matrices of constant rank ⋮ Linear spaces of matrices of constant rank and instanton bundles ⋮ Unnamed Item ⋮ Geometry of the genus 9 Fano 4-folds ⋮ Globally Generated Vector Bundles with Small 𝑐_{\tiny}1 on Projective Spaces ⋮ Congruences of lines in \({{\mathbb P}^5}\), quadratic normality, and completely exceptional Monge-Ampère equations ⋮ Stable linear systems of skew-symmetric forms of generic rank \(\leq 4\) ⋮ Planes of matrices of constant rank and globally generated vector bundles

Cites Work

• On symmetric degeneracy loci, spaces of symmetric matrices of constant rank and dual varieties
• Espaces Homogènes De Stein Des Groupes De Lie Complexes
• Surfaces of order 1 in Grassmannians.
• Systems of conservation laws in the context of the projective theory of congruences
• On the Hilbert scheme of Palatini threefolds
• Systems of conservation laws of Temple class, equations of associativity and linear congruences in \(\mathbb P^4\).

This page was built for publication: On linear spaces of skew-symmetric matrices of constant rank