Singular Manual: semidiv

| #### D.12.4.8 semidiv Procedure from library `hyperel.lib` (see hyperel_lib). Usage: semidiv(D,h,f); Return: list P Note: important: Divisor D has to be semireduced! Computes semireduced divisor P[1][3]*(P[1][1], P[1][2]) +...+ P[size(P)][3]* *(P[size(P)][1], P[size(P)][2]) - (*)infty=div(D[1],D[2]) Curve C:y^2+h(x)y=f(x) is defined over basering. Example:
    LIB "hyperel.lib";
    ring R=7,x,dp;
    // hyperelliptic curve y^2 + h*y = f
    poly h=x;
    poly f=x5+5x4+6x2+x+3;
    // Divisor
    list D=x2-1,2x-1;
    semidiv(D,h,f);
    ==> [1]:
    ==>    [1]:
    ==>       -1
    ==>    [2]:
    ==>       -3
    ==>    [3]:
    ==>       1
    ==> [2]:
    ==>    [1]:
    ==>       1
    ==>    [2]:
    ==>       1
    ==>    [3]:
    ==>       1

User manual for Singular version 4-1-2p3, 2020, generated by texi2html.