createCandidates -- create numerical candidates for bi-dominant Gorenstein linkage correspondences

Synopsis

Usage:
L=createCandidates b
Inputs:
- b, an integer, a bound for the value s in the list for possible h-vectors of dominant Gorenstein linkage correspondences
Outputs:
- L, a list, of candidates (d,hV) for a bi-dominant Gorenstein linkage correspondence

Description

Since the dimension of HC_h growth quadratic in s, while the dimension of the Hilbert scheme of points growth cubic in s there are only finitely many candidates for pairs (d,hV) of degrees and h-vectors of bi-dominant correspondences. For more details, see Twenty Points in P^3 The function lists all candidates with s <= b.

i1 : L=createCandidates 5;#L

o2 = 102

i3 : L=createCandidates 6;#L

o4 = 102

i5 : max apply(L,dhV->dhV_0)

o5 = 47

Ways to use `createCandidates` :

createCandidates(ZZ)

createCandidates -- create numerical candidates for bi-dominant Gorenstein linkage correspondences

Synopsis

Description

Ways to use createCandidates :

Ways to use `createCandidates` :