depthsOfPowers -- Computes depth of powers of an ideal

Synopsis

• Usage:

  L = depthsOfPowers(s,c,I)

  L = depthsOfPowers(s,I)

• Inputs:
  • s, an integer, number of powers to compute
  • c, an integer, (If omitted, it will use c = codim I)
  • I, an ideal,
• Outputs:
  • L, a list, The depths of the powers of I from 1 to s-c+1.

Description

i1 : R = QQ[a,b,c,d,e,f];

i2 : I = ideal (b*c, b*d, b*e, d*e, a*d*f, e*f);

o2 : Ideal of R

i3 : depthsOfPowers(6,3,I)

o3 = {3, 1, 1, 1}

o3 : List

Caveat