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CompleteIntersectionResolutions :: twoMonomials

twoMonomials -- tally the sequences of BRanks for certain examples

Synopsis

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 1.15185 seconds
2
Tally{{{1, 1}} => 2        }
      {{2, 2}, {1, 2}} => 4

     -- used 0.677315 seconds
3
Tally{{{2, 2}, {1, 2}} => 2}
      {{3, 3}, {2, 3}} => 1

     -- used 0.218572 seconds
4
Tally{{{2, 2}, {1, 2}} => 1}

See also

Ways to use twoMonomials :

For the programmer

The object twoMonomials is a method function with options.