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MaxBettiNumbers :: MaxBetti

MaxBetti

Description

This is the type that is returned by maxBettiNumbers it is a HashTable with the following keys.

BettiUpperBound - upper bound for the total Betti numbers.
HilbertFunctions - a list of Hilbert functions with maximal total Betti numbers. See maxBettiNumbers(..., ResultsCount => ...) for more details.
isRealizable - if there is an ideal with the upper bound as its total Betti numbers.
MaximalBettiNumbers - the maximal total Betti numbers.
MaximumBettiSum - maximum sum of the total Betti numbers.

See also

maxBettiNumbers -- Upper bounds for total Betti numbers in a family of saturated ideals.

Functions and methods returning an object of class MaxBetti :

maxBettiNumbers -- Upper bounds for total Betti numbers in a family of saturated ideals.

For the programmer

The object MaxBetti is a type, with ancestor classes HashTable < Thing.