Projective isomorphisms between rational surfaces

DOI10.1016/j.jalgebra.2021.11.045zbMath1483.14077arXiv2010.08393OpenAlexW4206054636MaRDI QIDQ2068150

Niels Lubbes, Josef Schicho, Bert Jüttler

Publication date: 19 January 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.08393

zbMATH Keywords

rational surfacesdel Pezzo surfacessurface automorphismsadjunctionprojective isomorphisms

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Computational aspects of algebraic surfaces (14Q10) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (4)

Using \(\mu \)-bases to reduce the degree in the computation of projective equivalences between rational curves in \(n\)-space ⋮ Computing symmetries of implicit algebraic surfaces ⋮ A new method to detect projective equivalences and symmetries of rational \(3 D\) curves ⋮ Detecting affine equivalences between implicit planar algebraic curves

Uses Software

• SageMath

Cites Work

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• Involutions of polynomially parametrized surfaces
• Automorphism groups of generic rational surfaces
• Projective and affine symmetries and equivalences of rational and polynomial surfaces
• Affine equivalences, isometries and symmetries of ruled rational surfaces
• Computing projective equivalences of special algebraic varieties
• Rational surfaces with a large group of automorphisms
• Classical Algebraic Geometry
• Automorphisms of finite order on rational surfaces. With an appendix by I. Dolgachev
• Introduction to the Mori program

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