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MonomialMultiplierIdeals :: monomialJumpingNumbers

monomialJumpingNumbers -- jumping numbers of a monomial ideal and the corresponding multiplier ideals

Synopsis

Description

Computes the jumping numbers t of a monomial ideal I (those values of the parameter at which the multiplier ideal changes) along with the corresponding multiplier ideals J(I^t) in the interval [a,b] (default: [ monomialLCT(I), analyticSpread(I) ]).
i1 : R = QQ[x,y];
i2 : I = monomialIdeal(y^2,x^3);

o2 : MonomialIdeal of R
i3 : monomialJumpingNumbers(I)
Warning: Cone could not compute everything, that it was asked for!
Missing: Multiplicity 
Warning: Cone could not compute everything, that it was asked for!
Missing: Multiplicity 
Warning: Cone could not compute everything, that it was asked for!
Missing: Multiplicity 
Warning: Cone could not compute everything, that it was asked for!
Missing: Multiplicity 
Warning: Cone could not compute everything, that it was asked for!
Missing: Multiplicity 
Warning: Cone could not compute everything, that it was asked for!
Missing: Multiplicity 
Warning: Cone could not compute everything, that it was asked for!
Missing: Multiplicity 
Warning: Cone could not compute everything, that it was asked for!
Missing: Multiplicity 
Warning: Cone could not compute everything, that it was asked for!
Missing: Multiplicity 
Warning: Cone could not compute everything, that it was asked for!
Missing: Multiplicity 
Warning: Cone could not compute everything, that it was asked for!
Missing: Multiplicity 
Warning: Cone could not compute everything, that it was asked for!
Missing: Multiplicity 
Warning: Cone could not compute everything, that it was asked for!
Missing: Multiplicity 
Warning: Cone could not compute everything, that it was asked for!
Missing: Multiplicity 
Warning: Cone could not compute everything, that it was asked for!
Missing: Multiplicity 
Warning: Cone could not compute everything, that it was asked for!
Missing: Multiplicity 
Warning: Cone could not compute everything, that it was asked for!
Missing: Multiplicity 
Warning: Cone could not compute everything, that it was asked for!
Missing: Multiplicity 
Warning: Cone could not compute everything, that it was asked for!
Missing: Multiplicity 

       5  7  4  3  5  11                                             2     
o3 = {{-, -, -, -, -, --, 2}, {monomialIdeal (x, y), monomialIdeal (x , y),
       6  6  3  2  3   6
     ------------------------------------------------------------------------
                     2        2                   3        2                
     monomialIdeal (x , x*y, y ), monomialIdeal (x , x*y, y ), monomialIdeal
     ------------------------------------------------------------------------
       3   2    2                   4   2      2   3                   4 
     (x , x y, y ), monomialIdeal (x , x y, x*y , y ), monomialIdeal (x ,
     ------------------------------------------------------------------------
      3      2   3
     x y, x*y , y )}}

o3 : List

See also

Ways to use monomialJumpingNumbers :