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arXiv · 1608.00540

Trace test

Anton Leykin·Jose Israel Rodriguez·Frank Sottile
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Abstract

The trace test in numerical algebraic geometry verifies the completeness of a witness set of an irreducible variety in affine or projective space. We give a brief derivation of the trace test and then consider it for subvarieties of products of projective spaces using multihomogeneous witness sets. We show how a dimension reduction leads to a practical trace test in this case involving a curve in a low-dimensional affine space.

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Anton Leykin, Jose Israel Rodriguez, Frank Sottile. 2016-08-01. Trace test. https://arxiv.org/abs/1608.00540

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