> | ### D.4.5 curveInv_lib Library: curveInv.lib Purpose: A library for computing invariants of curves Author: Peter Chini, chini@rhrk.uni-kl.de Overview: This library provides a collection of procedures for computing invariants of curve singularities. Invariants that can be computed are: - the delta invariant - the multiplicity of the conductor: the length of Normalization(R)/C, where C denotes the conductor - the Deligne number - the colength of derivations along the normalization - the length of Der(Normalization(R/I)) / R/I In addition, it is possible to compute the conductor of a ring S = R/I, where R is a (localized) polynomial ring. Theory: Computing the Deligne number of curve singularities and an algorithmic framework for differential algebras in SINGULAR; Chapter 5 - Master's Thesis of Peter Chini - August 2015 Procedures:
> D.4.5.1 curveDeltaInv |  | computes the delta invariant of R/I for a given ideal I
> D.4.5.2 curveConductorMult |  | returns the multiplicity of the conductor of R/I
> D.4.5.3 curveDeligneNumber |  | computes the Deligne number of R/I
> D.4.5.4 curveColengthDerivations |  | returns the colength of derivations, the length of Der(Normalization(R/I))/Der(R/I)

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