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A counter example to an ideal membership test
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Jonathan D. Hauenstein
Published/Copyright:
April 23, 2010
Abstract
An ideal membership test is presented by A. Leykin in Numerical primary decomposition using dual bases. A counter example is presented to demonstrate that the proposed test is invalid.
Key words.: Ideal membership test; numerical primary decomposition; numerical algebraic geometry; dual basis
Received: 2010-01-06
Published Online: 2010-04-23
Published in Print: 2010-July
© de Gruyter 2010
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Keywords for this article
Ideal membership test;
numerical primary decomposition;
numerical algebraic geometry;
dual basis
Articles in the same Issue
- On the characteristic direction of real hypersurfaces in and a symmetry result
- Small maximal partial spreads in classical finite polar spaces
- On antipodes on a convex polyhedron II
- On the quadratic normality and the triple curve of three-dimensional subvarieties of
- A generalization of the Giulietti–Korchmáros maximal curve
- Busemann Functions and the Julia–Wolff–Carathéodory Theorem for polydiscs
- Generalized polygons with non-discrete valuation defined by two-dimensional affine ℝ-buildings
- Measures on the space of convex bodies
- On the scalar curvature of hypersurfaces in spaces with a Killing field
- The real quadrangle of type E6
- Triple-point defective surfaces
- On surfaces with pg = 2q – 3
- A counter example to an ideal membership test
