Numerical algorithms for detecting embedded components

2014/05/30 by Robert Krone, Krone, Robert, Anton Leykin +1 · 1 citation
Mathematics · #13P99 #14Q99 #65D99 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #msc:13P99 #msc:14Q99 #msc:65D99

paper · pdf · doi:10.48550/arxiv.1405.7871

22 pages, 2 figures

arxiv created 2016/01/14 · arxiv updated 2016/01/15

Abstract

We produce algorithms to detect whether a complex affine variety computed and presented numerically by the machinery of numerical algebraic geometry corresponds to an associated component of a polynomial ideal.

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