Gotzmann monomials in four variables

Vittoria Bonanzinga ^[1] ; Shalom Eliahou ^[2]
1. [1] Universidad Mediterránea de Reggio Calabria, Italia
2. [2] Université du Littoral Côte d'Opale, Francia
Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 62, Nº. 1, 2021, págs. 67-93
Idioma: inglés
DOI: 10.33044/revuma.v62n1a04
Enlaces
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Resumen
- It is a widely open problem 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. Since 2007, only the case n ≤ 3 was known. Here we solve the problem for the case n = 4. The solution involves a surprisingly intricate characterization.