Resumen de Construction of almost revlex ideals with hilbert function of some complete intersections

Cristina Bertone, Francesca Cioffi

• We give a constructive proof of the existence of the almost revlex ideal J ⊂ K[x1, . . . , xn] with the same Hilbert function of a complete intersection generated by n forms of degrees d1 ≤ · · · ≤ dn, when for every i ≥ 4 the degrees d1, . . . , dn satisfy the condition di ≥ u¯i−1 + 1 = minnj Pi−1 j=1 dj−i+1 2 k, Pi−2 j=1 dj − i + 2o + 1.