Gröbner bases for complete $\ell$-wide families
Katalin Friedl, Gábor Hegedüs, Lajos Rónyai · Publicationes Mathematicae Debrecen · 2007
Budapest), G ÁBOR HEGED ŰS (Kecskemét) and LAJOS R ÓNYAI (Budapest)Abstract.Let n > 0, k, ℓ be integers with 0 ≤ ℓ -1 ≤ k ≤ n, and consider the complete ℓ-wide familyWe describe (reduced) Gröbner bases of the ideal of polynomials, over an arbitrary field F, which vanish on the characteristic vectors of the elements of F k,ℓ .As an application, we obtain results on certain inclusion matrices related to F k,ℓ .We show that if 0 ≤ m ≤ min(k, nk + ℓ -1) then Mathematics Subject Classification: 13P10, 05E99.