MaxBettiNumbers : Table of Contents

• MaxBettiNumbers -- Methods to find maximum Betti numbers given bounds on the Hilbert function.
• almostLexBetti -- Graded Betti numbers of an almost lexsegment ideal.
• almostLexIdeal -- Create an almost lexsegment ideal.
• AsTally
• BettiUpperBound
• HilbertDifferenceLowerBound
• HilbertDifferenceUpperBound
• HilbertFunctionLowerBound
• HilbertFunctions
• HilbertFunctionUpperBound
• HilbertPolynomial
• isRealizable
• lexBetti -- Graded Betti numbers of a lexsegment ideal.
• lexBetti(..., AsTally => ...)
• lexsegmentIdeal -- Create a lexsegment ideal.
• MaxBetti
• maxBettiNumbers -- Upper bounds for total Betti numbers in a family of saturated ideals.
• maxBettiNumbers(..., Algorithm => ...)
• maxBettiNumbers(..., HilbertFunctionLowerBound => ...)
• maxBettiNumbers(..., HilbertPolynomial => ...)
• maxBettiNumbers(..., ResultsCount => ...)
• MaximalBettiNumbers
• MaximumBettiSum
• ResultsCount