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CompleteIntersectionResolutions :: Optimism

Optimism -- Option to highSyzygy

Synopsis

Description

If highSyzygy(M) chooses the p-th syzygy, then highSyzygy(M,Optimism=>r) chooses the (p-r)-th syzygy. (Positive Optimism chooses a lower "high" syzygy, negative Optimism a higher "high" syzygy.

Functions with optional argument named Optimism :

  • highSyzygy(..., Optimism => ...), see highSyzygy -- Returns a syzygy module one beyond the regularity of Ext(M,k)
  • twoMonomials(..., Optimism => ...), see twoMonomials -- tally the sequences of BRanks for certain examples

Caveat

Are there cases when positive Optimism is justified?

See also

  • mfBound -- determines how high a syzygy to take for "matrixFactorization"
  • highSyzygy -- Returns a syzygy module one beyond the regularity of Ext(M,k)

For the programmer

The object Optimism is a symbol.