Description
MultiplierIdealsDim2 is a package that contains several tools related with the computations of multiplier ideals. Given the self intersection matrix and the divisor associated to this ideal, using the function
MultiplierIdeals, one can compute the jumping numbers and their associated multiplier ideals in the interval (
SmallestJN,
BiggestJN] using either the algorithms presented on [Tuc10], [AAD14] or [AADG14]. However, if we want to know the multiplicity of a given number as a jumping number for a given ideal, one can use
MultiplicityJN. Another option that this package offers is to compute the Multiplier Ideal associated to a given number, thanks to the function
MultIdeal. The package also contains two extra functions: to compute the relative Canonical divisor of a resolution (
RelativeCanonicalDivisor). And to compute the antinef closure of a given divisor (
Unloading).
Literature

[AAD14] Multiplier ideals in twodimensional local rings with rational singularities (M. AlberichCarramiñana, J. Àlvarez Montaner, F. DachsCadefau, 2014).

[AADG14] Poincaré series of multiplier ideals in twodimensional local rings with rational singularities (M. AlberichCarramiñana, J. Àlvarez Montaner, F. DachsCadefau, V. GonzálezAlonso, 2014)

[Tuc10] Jumping numbers on algebraic surfaces with rational singularities (K. Tucker, 2010)