next | previous | forward | backward | up | top | index | toc | Macaulay2 website
ResidualIntersections :: depthsOfPowers

depthsOfPowers -- Computes depth of powers of an ideal

Synopsis

Description

Computes the depth of $S/I^k$ for $k$ from 1 to $s-c+1$.

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

Ways to use depthsOfPowers :

For the programmer

The object depthsOfPowers is a method function.