generalB(...,Strategy=>...) -- specify strategy for computing generalized Bernstein-Sato polynomial

Description

InitialIdeal -- use the initial ideal in_{(-w,w)} Ann f^s; this Strategy is the fastest on many examples, but can not be used with the Exponent option.
StarIdeal -- use ``star ideal'', the (-w,w) homogeneous elements of the Ann f^s

See Berkesch and Leykin ``Algorithms for Bernstein-Sato polynomials and multiplier ideals''.

Further information

Default value: InitialIdeal
Function: generalB -- global generalized Bernstein-Sato polynomial
Option key: Strategy -- an optional argument

Functions with optional argument named Strategy :

addHook(...,Strategy=>...) -- see addHook -- add a hook function to an object for later processing
adjoint(...,Strategy=>...) (missing documentation)
annihilator(...,Strategy=>...) -- see annihilator -- the annihilator ideal
associatedPrimes(...,Strategy=>...) -- see associatedPrimes -- find associated primes
basis(...,Strategy=>...) -- see basis -- basis or generating set of all or part of a ring, ideal or module
bFunction(...,Strategy=>...) -- specify strategy for computing b-function
canonicalBundle(...,Strategy=>...) (missing documentation)
mingens(...,Strategy=>...) -- see Complement -- a Strategy option value
trim(...,Strategy=>...) -- see Complement -- a Strategy option value
compose(Module,Module,Module,Strategy=>...) -- see compose -- composition as a pairing on Hom-modules
cotangentSheaf(...,Strategy=>...) (missing documentation)
deRham(...,Strategy=>...)
deRhamAll(...,Strategy=>...)
determinant(...,Strategy=>...) -- choose between Bareiss, Cofactor and Dynamic algorithms
DExt(...,Strategy=>...)
DHom(...,Strategy=>...)
Dintegration(...,Strategy=>...)
DintegrationAll(...,Strategy=>...) -- see DintegrationIdeal(...,Strategy=>...)
DintegrationClasses(...,Strategy=>...) -- see DintegrationIdeal(...,Strategy=>...)
DintegrationComplex(...,Strategy=>...) -- see DintegrationIdeal(...,Strategy=>...)
DintegrationIdeal(...,Strategy=>...)
Drestriction(...,Strategy=>...) -- see DintegrationIdeal(...,Strategy=>...)
DrestrictionAll(...,Strategy=>...) -- see DintegrationIdeal(...,Strategy=>...)
DrestrictionClasses(...,Strategy=>...) -- see DintegrationIdeal(...,Strategy=>...)
DrestrictionComplex(...,Strategy=>...) -- see DintegrationIdeal(...,Strategy=>...)
DrestrictionIdeal(...,Strategy=>...) -- see DintegrationIdeal(...,Strategy=>...)
Dlocalize(...,Strategy=>...) -- strategy for computing a localization of a D-module
DlocalizeAll(...,Strategy=>...) -- see Dlocalize(...,Strategy=>...) -- strategy for computing a localization of a D-module
DlocalizeMap(...,Strategy=>...) -- see Dlocalize(...,Strategy=>...) -- strategy for computing a localization of a D-module
Dresolution(...,Strategy=>...) -- strategy for computing a resolution of a D-module
dual(ChainComplex,Strategy=>...) (missing documentation)
dual(Matrix,Strategy=>...) (missing documentation)
dual(MonomialIdeal,List,Strategy=>...) -- see dual(MonomialIdeal,Strategy=>...)
dual(MonomialIdeal,RingElement,Strategy=>...) -- see dual(MonomialIdeal,Strategy=>...)
dual(MonomialIdeal,Strategy=>...)
dual(SheafMap,Strategy=>...) (missing documentation)
End(...,Strategy=>...) -- see End -- module of endomorphisms
exteriorPower(...,Strategy=>...) -- choose between Bareiss, Cofactor and Dynamic algorithms
gb(...,Strategy=>...) -- see gb -- compute a Gröbner basis
gbw(...,Strategy=>...) -- see gbw -- compute a Gröbner basis with respect to a weight vector
gcdLLL(...,Strategy=>...) (missing documentation)
generalB(...,Strategy=>...) -- specify strategy for computing generalized Bernstein-Sato polynomial
GF(...,Strategy=>...) -- see GF -- make a finite field
globalBFunction(...,Strategy=>...) -- specify strategy for computing global b-function
groebnerBasis(...,Strategy=>...) -- see groebnerBasis -- Gröbner basis, as a matrix
hermite(...,Strategy=>...) (missing documentation)
Hom(...,Strategy=>...) -- see Hom -- module of homomorphisms
homomorphism'(...,Strategy=>...) -- see homomorphism' -- get the element of Hom from a homomorphism
hooks(...,Strategy=>...) -- see hooks -- list hooks attached to a key
idealizer(...,Strategy=>...) -- see idealizer -- compute Hom(I,I) as a quotient ring
integralClosure(...,Strategy=>...) -- control the algorithm used
intersect(Ideal,Ideal,Strategy=>...) -- see intersect(Ideal,Ideal) -- compute an intersection of a sequence of ideals or modules
intersect(Module,Module,Strategy=>...) -- see intersect(Ideal,Ideal) -- compute an intersection of a sequence of ideals or modules
intersectInP(...,Strategy=>...) -- see intersectInP(...,BasisElementLimit=>...) -- Option for intersectInP
intersectionCohomology(...,Strategy=>...) -- see intersectionCohomology -- intersection cohomology of an irreducible affine variety
isInMultiplierIdeal(...,Strategy=>...) -- see isInMultiplierIdeal(RingElement,Ideal,QQ) -- multiplier ideal membership test
isPrimary(...,Strategy=>...) -- see isPrimary -- determine whether a submodule is primary
isPrime(Ideal,Strategy=>...) -- see isPrime(Ideal) -- whether an ideal is prime
lct(...,Strategy=>...) -- specify strategy for computing lct
LLL(...,Strategy=>...) -- choose among different algorithms
localCohom(...,Strategy=>...) -- specify strategy for local cohomology
localize(...,Strategy=>...) -- see localize -- localize an ideal at a prime ideal
match(...,Strategy=>...) -- see match -- regular expression matching
decompose(Ideal,Strategy=>...) -- see minimalPrimes -- minimal primes of an ideal
minimalPrimes(...,Strategy=>...) -- see minimalPrimes -- minimal primes of an ideal
minors(...,Strategy=>...) -- choose between Bareiss, Cofactor and Dynamic algorithms
jumpingCoefficients(...,Strategy=>...) -- see multiplierIdeal(Ideal,QQ) -- multiplier ideal
multiplierIdeal(...,Strategy=>...) -- see multiplierIdeal(Ideal,QQ) -- multiplier ideal
parallelApply(...,Strategy=>...) -- see parallelApply -- apply a function to each element in parallel
polynomialExt(...,Strategy=>...)
primaryComponent(...,Strategy=>...) -- see primaryComponent -- find a primary component corresponding to an associated prime
pushForward(...,Strategy=>...) (missing documentation)
quotient(...,Strategy=>...)
radical(...,Strategy=>...) -- see radical -- the radical of an ideal
radicalContainment(...,Strategy=>...) -- see radicalContainment -- whether an element is contained in the radical of an ideal
rationalFunctionExt(...,Strategy=>...)
analyticSpread(...,Strategy=>...) -- see reesIdeal(...,Strategy=>...) -- Choose a strategy for the saturation step
distinguished(...,Strategy=>...) -- see reesIdeal(...,Strategy=>...) -- Choose a strategy for the saturation step
isLinearType(...,Strategy=>...) -- see reesIdeal(...,Strategy=>...) -- Choose a strategy for the saturation step
isReduction(...,Strategy=>...) -- see reesIdeal(...,Strategy=>...) -- Choose a strategy for the saturation step
minimalReduction(...,Strategy=>...) -- see reesIdeal(...,Strategy=>...) -- Choose a strategy for the saturation step
multiplicity(...,Strategy=>...) -- see reesIdeal(...,Strategy=>...) -- Choose a strategy for the saturation step
normalCone(...,Strategy=>...) -- see reesIdeal(...,Strategy=>...) -- Choose a strategy for the saturation step
reesAlgebra(...,Strategy=>...) -- see reesIdeal(...,Strategy=>...) -- Choose a strategy for the saturation step
reesIdeal(...,Strategy=>...) -- Choose a strategy for the saturation step
specialFiber(...,Strategy=>...) -- see reesIdeal(...,Strategy=>...) -- Choose a strategy for the saturation step
specialFiberIdeal(...,Strategy=>...) -- see reesIdeal(...,Strategy=>...) -- Choose a strategy for the saturation step
regSeqInIdeal(...,Strategy=>...) -- see regSeqInIdeal -- a regular sequence contained in an ideal
resolution(...,Strategy=>...)
saturate(...,Strategy=>...)
sheafHom(...,Strategy=>...) (missing documentation)
primaryDecomposition(...,Strategy=>...) -- see strategies for computing primary decomposition
syz(...,Strategy=>...) -- see syz(Matrix) -- compute the syzygy matrix
tangentCone(...,Strategy=>...) -- see tangentCone(Ideal)
tangentSheaf(...,Strategy=>...) (missing documentation)