A longstanding open problem is to determine which monomials in the n-variable polynomial ring K[x1, . . . , xn] over a field K have the Gotzmann property, i.e. induce a Borel-stable Gotzmann monomial ideal. So far only the case n ≤ 4 was known. Here we solve the problem in general.
ON THRESHOLDS FOR GOTZMANN MONOMIALS
Bonanzinga V.;
2023-01-01
Abstract
A longstanding open problem is to determine which monomials in the n-variable polynomial ring K[x1, . . . , xn] over a field K have the Gotzmann property, i.e. induce a Borel-stable Gotzmann monomial ideal. So far only the case n ≤ 4 was known. Here we solve the problem in general.File in questo prodotto:
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