Singular Manual: linearlyEquivalent

| #### D.5.4.9 linearlyEquivalent Procedure from library `divisors.lib` (see divisors_lib). Usage: linearlyEquivalent(A,B); A = divisor, B = divisor. Assume: A and B are divisors on X. Return: list if A and B a linearly equivalent and int 0 otherwise. Theory: Checks whether A-B is principle. If yes, returns a list L=(f,g) where A - B = (f/g). Example:
    LIB "divisors.lib";
    ring r=31991,(x,y,z),dp;
    ideal I = y^2*z - x*(x-z)*(x+3*z);
    qring Q = std(I);
    divisor A = makeDivisor(ideal(x,z),ideal(1));
    divisor B = makeDivisor(ideal(x,y),ideal(1));
    linearlyEquivalent(A,B);
    ==> 0
    linearlyEquivalent(multdivisor(2,A),multdivisor(2,B));
    ==> [1]:
    ==>    x
    ==> [2]:
    ==>    z

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