Stable Border Bases for Ideals of Numerical Cartesian Sets

Stable Border Bases for Ideals of Numerical Cartesian Sets

Year:    2011

Author:    Lili Liu, Zhe Li, Shugong Zhang

Communications in Mathematical Research , Vol. 27 (2011), Iss. 3 : pp. 243–252

Abstract

In this paper, we discuss a special class of sets of bivariate empirical points, namely, numerical cartesian sets. We find that the stable quotient bases for numerical cartesian sets are unique if they exist. Furthermore, the corresponding border bases are the unique stable border bases for the vanishing ideals of numerical cartesian sets.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2011-CMR-19089

Communications in Mathematical Research , Vol. 27 (2011), Iss. 3 : pp. 243–252

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    empirical point numerical cartesian set vanishing ideal border base.

Author Details

Lili Liu

Zhe Li

Shugong Zhang