Package MultiplierIdealsDim2 for Macaulay2

We present a Macaulay 2 package for computing Jumping Numbers and Multiplier Ideals of any ideal in a two-dimensional local ring with a rational singularity. The computation is based on the algorithms given in:

Multiplier ideals in two-dimensional local rings with rational singularities
M. Alberich-Carramiñana, J. Àlvarez Montaner, F. Dachs-Cadefau
2014.
Poincaré series of multiplier ideals in two-dimensional local rings with rational singularities
M. Alberich-Carramiñana, J. Àlvarez Montaner, F. Dachs-Cadefau, V. González-Alonso
2014.
Jumping numbers on algebraic surfaces with rational singularities
K.Tucker
Trans. Amer. Math. Soc., 362 (2010), 3223-3241.

We recall that the package Dmodules provides computations of multiplier ideals and jumping numbers for arbitrary ideals using the theory of D-modules. For some special classes of ideals we also refer to the package MultiplierIdeals.

SourceCode

MultiplierIdealsDim2.

Instructions

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