expectedBetti -- The betti table of r points in Pn according to the minimal resolution conjecture

Synopsis

Usage:

L = expectedBetti(r,n)
Inputs:
- r, an integer, ambient dimension
- n, an integer, number of points
Outputs:
- L, a list,

Description

The output is the smallest conceivable betti table for a set of r points in P^n, which is predicted (incorrectly) by the minimal resolution conjecture.

i1 : expectedBetti(11,5)

            0 1  2   3   4    5    6    7   8   9 10 11
o1 = total: 1 7 66 330 858 1386 1518 1155 605 209 43  4
         0: 1 7 11   .   .    .    .    .   .   .  .  .
         1: . . 55 330 858 1386 1518 1155 605 209 43  4

o1 : BettiTally

Caveat

The MRC is false, so these are sometimes not the actual Betti numbers.

For the programmer

The object expectedBetti is a function closure.

expectedBetti -- The betti table of r points in Pn according to the minimal resolution conjecture

Synopsis

Description

Caveat

See also

For the programmer