On a conjecture of Tomas Sauer regarding nested ideal interpolation

Shekhtman, Boris

doi:10.1090/S0002-9939-08-09816-X

On a conjecture of Tomas Sauer regarding nested ideal interpolation
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by Boris Shekhtman

Proc. Amer. Math. Soc. 137 (2009), 1723-1728

DOI: https://doi.org/10.1090/S0002-9939-08-09816-X

Published electronically: December 11, 2008

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Abstract:

Tomas Sauer conjectured that if an ideal complements polynomials of degree less than $n$, then it is contained in a larger ideal that complements polynomials of degree less than $n-1$. We construct a counterexample to this conjecture for polynomials in three variables and with $n=3$.

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