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arXiv · 1907.05622

Gotzmann Monomials In Four Variables

V Bonanzinga·Shalom Eliahou
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Abstract

It is a widely open problem to determine which monomials in the n-variable polynomial ring $K[x_1,...,x_n]$ over a field $K$ have the Gotzmann property, i.e. induce a Borel-stable Gotzmann monomial ideal. Since 2007, only the case $n \le 3$ was known. Here we solve the problem for the case $n = 4$. The solution involves a surprisingly intricate characterization.

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V Bonanzinga, Shalom Eliahou. 2019-07-12. Gotzmann Monomials In Four Variables. https://doi.org/10.33044/revuma.v62n1a04

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