Quadric surfaces in the Pfaffian hypersurface in ℙ14

DOI10.1080/03081087.2021.1895048OpenAlexW3133942550MaRDI QIDQ5887705

Ada Boralevi, Emilia Mezzetti, Maria Lucia Fania

Publication date: 13 April 2023

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.04292

zbMATH Keywords

skew-symmetric matricesconstant rankquadric surfaceglobally generated vector bundlesPfaffian hypersurface

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Projective techniques in algebraic geometry (14N05)

Uses Software

• Macaulay2

Cites Work

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• Foliations with degenerate Gauss maps on \(\mathbb P^4\)
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• Congruences of lines with one-dimensional focal locus
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• Globally generated vector bundles on a smooth quadric surface
• Vector spaces of skew-symmetric matrices of constant rank
• Linear spaces of matrices of constant rank and instanton bundles
• On linear spaces of skew-symmetric matrices of constant rank
• Measures of irrationality for hypersurfaces of large degree
• Truncated Modules and Linear Presentations of Vector Bundles
• The gonality theorem of Noether for hypersurfaces
• Systems of conservation laws of Temple class, equations of associativity and linear congruences in \(\mathbb P^4\).
• Planes of matrices of constant rank and globally generated vector bundles

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