> | ### D.4.23 normal_lib Library: normal.lib Purpose: Normalization of Affine Rings Authors: J. Boehm boehm@mathematik.uni-kl.de, W. Decker decker@mathematik.uni-kl.de, G.-M. Greuel, greuel@mathematik.uni-kl.de, S. Laplagne, slaplagn@dm.uba.ar, G. Pfister, pfister@mathematik.uni-kl.de, A. Steenpass steenpass@mathematik.uni-kl.de, S. Steidel steidel@mathematik.uni-kl.de, P. Chini, chini@rhrk.uni-kl.de (normalConductor) Procedures:
> D.4.23.1 normal |  | normalization of an affine ring
> D.4.23.2 locNormal |  | normalization of R/I using local methods
> D.4.23.3 modNormal |  | normalization of R/I using modular methods
> D.4.23.4 normalP |  | normalization of an affine ring in positive characteristic
> D.4.23.5 normalC |  | normalization of an affine ring through a chain of rings
> D.4.23.6 HomJJ |  | presentation of End_R(J) as affine ring, J an ideal
> D.4.23.7 genus |  | computes the geometric genus of a projective curve
> D.4.23.8 primeClosure |  | integral closure of R/p, p a prime ideal
> D.4.23.9 closureFrac |  | writes a poly in integral closure as element of Quot(R/p)
> D.4.23.10 iMult |  | intersection multiplicity of the ideals of the list L
> D.4.23.11 deltaLoc |  | sum of delta invariants at conjugated singular points
> D.4.23.12 locAtZero |  | checks whether the zero set of I is located at 0
> D.4.23.13 norTest |  | checks the output of normal, normalP, normalC
> D.4.23.14 getSmallest |  | computes the polynomial of smallest degree of J
> D.4.23.15 getOneVar |  | computes a polynomial of J in the variable vari
> D.4.23.16 changeDenominator |  | computes ideal U2 such that 1/c1*U1=1/c2*U2
> D.4.23.17 normalConductor |  | computation of the conductor as ideal in the basering
> D.4.23.18 isNormal |  | test if already normal
See also: integralbasis_lib.

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