Trace test
Algebraic Geometry
2017-05-29 v3
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.
Keywords
Cite
@article{arxiv.1608.00540,
title = {Trace test},
author = {Anton Leykin and Jose Israel Rodriguez and Frank Sottile},
journal= {arXiv preprint arXiv:1608.00540},
year = {2017}
}
Comments
12 pages, 6 figures