It is a widely open problem to determine which monomialsin the n-variable polynomial ring K[x1; : : : ; xn] over a field Khave the Gotzmann property, i.e. induce a Borel-stable Gotzmannmonomial ideal. Since 2007, only the case n 3 was known. Herewe solve the problem for the case n = 4. The solution involves asurprisingly intricate characterization.
Gotzmann monomials in four variables, submitted / Bonanzinga, Vittoria; Eliahou, S. - (2018).
Gotzmann monomials in four variables, submitted
BONANZINGA, Vittoria;
2018-01-01
Abstract
It is a widely open problem to determine which monomialsin the n-variable polynomial ring K[x1; : : : ; xn] over a field Khave the Gotzmann property, i.e. induce a Borel-stable Gotzmannmonomial ideal. Since 2007, only the case n 3 was known. Herewe solve the problem for the case n = 4. The solution involves asurprisingly intricate characterization.File in questo prodotto:
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