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Gotzmann monomials in four variables
Volume 62, no. 1
(2021),
pp. 67–93
https://doi.org/10.33044/revuma.v62n1a04
Abstract
It is a widely open problem to determine which monomials in
the $n$-variable polynomial ring $K[x_1,\dots,x_n]$ 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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Published by the Unión Matemática Argentina |
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