The implicit equation of a multigraded hypersurface

DOI10.1016/j.jalgebra.2011.09.019zbMath1242.14049arXiv1007.3437OpenAlexW2963537867MaRDI QIDQ411780

Nicolás Botbol

Publication date: 30 April 2012

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

Full work available at URL: https://arxiv.org/abs/1007.3437

zbMATH Keywords

toric varietyelimination theoryimplicitizationKoszul complexCastelnuovo-Mumford regularityhypersurfacesresultantgraded algebragraded ringapproximation compleximplicit equationmultigraded algebramultigraded ring

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Computational aspects of algebraic surfaces (14Q10) Effectivity, complexity and computational aspects of algebraic geometry (14Q20)

Related Items (12)

Tensor product surfaces and linear syzygies ⋮ Fibers of Rational Maps and Elimination Matrices: An Application Oriented Approach ⋮ Multigraded Sylvester forms, duality and elimination matrices ⋮ Implicitization of tensor product surfaces in the presence of a generic set of basepoints ⋮ Implicitization of rational hypersurfaces via linear syzygies: a practical overview ⋮ Implicitization of tensor product surfaces via virtual projective resolutions ⋮ Fibers of Multi-Graded Rational Maps and Orthogonal Projection onto Rational Surfaces ⋮ Syzygies and singularities of tensor product surfaces of bidegree (2,1) ⋮ Castelnuovo Mumford regularity with respect to multigraded ideals ⋮ Effective criteria for bigraded birational maps ⋮ Fitting ideals and multiple points of surface parameterizations ⋮ Determinantal tensor product surfaces and the method of moving quadrics

Uses Software

• Macaulay2

Cites Work

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