Parametrizing del Pezzo surfaces of degree 8 using Lie algebras

DOI10.1016/j.jsc.2008.04.003zbMath1166.14037arXivmath/0512477OpenAlexW2088692710MaRDI QIDQ2518605

Jana Pílniková, Josef Schicho, Willem A. De Graaf

Publication date: 16 January 2009

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512477

zbMATH Keywords

Lie algebraParametrizationDel Pezzo Surface

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Computational aspects of algebraic surfaces (14Q10) Lie algebras of linear algebraic groups (17B45)

Related Items (5)

On surfaces of minimal degree in \(\mathbb{P}^5\) ⋮ On the rank index of some quadratic varieties ⋮ Construction algorithms for rational cubic surfaces ⋮ Algorithms for Del Pezzo surfaces of degree 5 (construction, parametrization) ⋮ Möbius automorphisms of surfaces with many circles

Uses Software

• Magma

Cites Work

• The Magma algebra system. I: The user language
• A Lie algebra method for rational parametrization of Severi-Brauer surfaces.
• Rational parametrisation for degree 6 Del Pezzo surfaces using lie algebras
• Classification of Solvable Lie Algebras
• Proper parametrization of surfaces with a rational pencil
• MINIMAL MODELS OF RATIONAL SURFACES OVER ARBITRARY FIELDS
• The Rationality of Quintic Del Pezzo Surfaces-A Short Proof
• Solving quadratic equations using reduced unimodular quadratic forms
• Lattice polygons and Green’s theorem
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