A Note on Quadratically Parametrized Surfaces

DOI10.1142/S1005386714000406zbMath1309.14049OpenAlexW2102182098MaRDI QIDQ3191850

Jerome William Hoffman, Hao Hao Wang

Publication date: 25 September 2014

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

Full work available at URL: https://doi.org/10.1142/s1005386714000406

zbMATH Keywords

Rees algebralocal cohomologyimplicit equationsSyzygy

Mathematics Subject Classification ID

Computational aspects of algebraic curves (14Q05) Syzygies, resolutions, complexes and commutative rings (13D02) Singularities of curves, local rings (14H20)

Related Items (1)

Bound for the number of one-dimensional fibers of a projective morphism

Cites Work

• Implicitization, parameterization and singularity computation of Steiner surfaces using moving surfaces
• Elimination and nonlinear equations of Rees algebras
• Minimal generators of the defining ideal of the Rees algebra associated to monoid parameterizations
• On the equations of the moving curve ideal of a rational algebraic plane curve
• The moving line ideal basis of planar rational curves
• The algebra and geometry of Steiner and other quadratically parametrizable surfaces
• Implicitizing rational curves by the method of moving algebraic curves
• On the closed image of a rational map and the implicitization problem.
• Implicitizing rational hypersurfaces using approximation complexes
• The moving curve ideal and the Rees algebra
• On the homology of two-dimensional elimination
• Syzygies and the Rees algebra
• DEFINING EQUATIONS OF THE REES ALGEBRA OF CERTAIN PARAMETRIC SURFACES
• IMPLICITIZATION OF SURFACES IN ℙ³ IN THE PRESENCE OF BASE POINTS

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