Parametrization of the orbits of cubic surfaces

DOI10.1007/BF01236873zbMath0938.14029MaRDI QIDQ1268121

K. Appert

Publication date: 24 January 1999

Published in: Transformation Groups (Search for Journal in Brave)

zbMATH Keywords

computational techniquesclassification of cubic surfacesorbits of the action of algebraic group

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Group actions on varieties or schemes (quotients) (14L30) Computational aspects of algebraic surfaces (14Q10) Special surfaces (14J25)

Related Items

A lower bound for the determinantal complexity of a hypersurface, ACTION OF THE BOREL GROUP ON MONOMIAL IDEALS, Determinantal representations of smooth cubic surfaces, Construction of symmetric cubic surfaces, Pfaffian representations of cubic surfaces, Determinantal representations of singular hypersurfaces in \(\mathbb P^n\), On the irreducibility and the singularities of the Gorenstein locus of the punctual Hilbert scheme of degree 10, The space of cubic surfaces equipped with a line, Twenty-seven questions about the cubic surface, On smooth rational threefolds of P⁵ with rational non—special hyperplane section, Compactifications of affine homology 3-cells into blow-ups of the projective 3-space with trivial log canonical divisors, On realizability of lines on tropical cubic surfaces and the Brundu-Logar normal form, Parametrization of the orbits of cubic surfaces, Isomorphism classes of short Gorenstein local rings via Macaulay’s inverse system

Uses Software

• CoCoA
• Macaulay2
• Maple

Cites Work

• Unnamed Item
• Gröbner bases and primary decomposition of polynomial ideals
• Galois groups of enumerative problems
• Direct methods for primary decomposition
• Parametrization of the orbits of cubic surfaces
• The versal deformation of the \(E_ 6\)-singularity and a family of cubic surfaces
• Algorithms in invariant theory