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arxiv: 1503.02038 · v1 · pith:EH35D64Vnew · submitted 2015-03-06 · 🧮 math.AG · math.AC

Eliminating dual spaces

classification 🧮 math.AG math.AC
keywords dualspacesalgebraiceliminatingaffinealgorithmcompatiblecomputational
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Macaulay dual spaces provide a local description of an affine scheme and give rise to computational machinery that is compatible with the methods of numerical algebraic geometry. We introduce eliminating dual spaces, use them for computing dual spaces of quotient ideals, and develop an algorithm for detection of embedded points on an algebraic curve.

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