Determinantal representations of smooth cubic surfaces

DOI10.1007/s10711-007-9144-xzbMath1117.14038arXivmath/0606098OpenAlexW2058299352MaRDI QIDQ2642385

Anita Buckley, Tomasž Košir

Publication date: 20 August 2007

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606098

zbMATH Keywords

linear systems of twisted cubic curvesreal smooth cubic surfacesSchläfli's double-six

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Determinants, permanents, traces, other special matrix functions (15A15) Rational and ruled surfaces (14J26) Hermitian, skew-Hermitian, and related matrices (15B57) Matrices over function rings in one or more variables (15A54)

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Cites Work

• Complete description of determinantal representations of smooth irreducible curves
• Parametrization of the orbits of cubic surfaces
• Self-adjoint determinantal representations of real plane curves
• The Cayley--Hamilton theorem and inverse problems for multiparameter systems.
• LINE BUNDLES AND HOMOGENEOUS MATRICES
• Determinantal hypersurfaces.
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