### D.4.12 integralbasis_lib

Library:
  integralbasis.lib
Purpose:
  Integral basis in algebraic function fields
Authors:
  J. Boehm, boehm at mathematik.uni-kl.de
  W. Decker, decker at mathematik.uni-kl.de
  S. Laplagne, slaplagn at dm.uba.ar
  G. Pfister, pfister at mathematik.uni-kl.de

Overview:
  Given an irreducible polynomial f in two variables defining a plane curve, this library implements algorithms for computing an integral basis of the integral closure of the affine coordinate ring in the algebraic function field.

Procedures:

> D.4.12.1 integralBasis |  | Integral basis of an algebraic function field
> D.4.12.2 polyDK |  | Polynomial with an ordinary multiple point at the origin
> D.4.12.3 monic |  | Makes a polynomial monic
> D.4.12.4 henselGlobal |  | Splits a polynomial using Hensel lifting

User manual for Singular version 4.4.1, 2025, generated by texi2html.