twoMonomials -- tally the sequences of BRanks for certain examples

Synopsis

Usage:

T = TwoMonomials(c,d)
Inputs:
- c, an integer, codimension in which to work
- d, an integer, degree of the monomials to take
Optional inputs:
- Optimism => ..., default value 0
Outputs:
- T, a tally,

Description

tallies the sequences of B-ranks that occur for ideals generated by pairs of monomials in R = S/(d-th powers of the variables), with full complexity (=c); that is, for an appropriate syzygy M of M0 = R/(m1, m2) where m1 and m2 are monomials of the same degree.

i1 : setRandomSeed 0

o1 = 0

i2 : twoMonomials(2,3)
 -- used 0.884059s (cpu); 0.588255s (thread); 0s (gc)
2
Tally{{{1, 1}} => 2        }
      {{2, 2}, {1, 2}} => 4

 -- used 0.511581s (cpu); 0.339984s (thread); 0s (gc)
3
Tally{{{2, 2}, {1, 2}} => 2}
      {{3, 3}, {2, 3}} => 1

 -- used 0.183989s (cpu); 0.118546s (thread); 0s (gc)
4
Tally{{{2, 2}, {1, 2}} => 1}

Ways to use twoMonomials:

twoMonomials(ZZ,ZZ)

For the programmer

The object twoMonomials is a method function with options.

twoMonomials -- tally the sequences of BRanks for certain examples

Synopsis

Description

See also

Ways to use twoMonomials:

For the programmer