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