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D.5.4.8 degreeDivisor

Procedure from library divisors.lib (see divisors_lib).

Usage:
degreeDivisor(A); A = divisor.

Assume:
A is a divisor on X.

Return:
The degree of A.

Theory:
We compute difference of the degrees of the numerator and denominator ideals.

Example:
 
LIB "divisors.lib";
==> Welcome to polymake version
==> Copyright (c) 1997-2015
==> Ewgenij Gawrilow, Michael Joswig (TU Darmstadt)
==> http://www.polymake.org
ring r=31991,(x,y,z),dp;
ideal I = y^2*z - x*(x-z)*(x+3*z);
qring Q = std(I);
divisor P = makeDivisor(ideal(x,z),ideal(1));
degreeDivisor(P);
==> 1