expectedBetti(ZZ,ZZ,ZZ) -- compute the expected betti table from the Hilbert numerator

Synopsis

• Function: expectedBetti

• Usage:

  B=expectedBetti(g,r,d)

• Inputs:
  • g, an integer, the genus
  • r, an integer, dimension of $\PP^{ r}$
  • d, an integer, the degree
• Outputs:
  • B, a Betti tally, a Betti table that has Hilbert numerator the same as for a nondegenerate maximal-rank curve of genus g and degree d in $\PP^{ r}$, with O_C(2) non-special.

Description

i1 : betti expectedBetti(0,4,4)

            0 1 2 3
o1 = total: 1 6 8 3
         0: 1 . . .
         1: . 6 8 3

o1 : BettiTally

i2 : betti expectedBetti(16,3,15)

            0 1  2 3
o2 = total: 1 9 12 4
         0: 1 .  . .
         1: . .  . .
         2: . .  . .
         3: . .  . .
         4: . .  . .
         5: . 9  6 .
         6: . .  6 4

o2 : BettiTally