Function Field

Contents

Function Field and Polynomial Ring

FunctionField(C) : Sch -> FldFunG
The function field of the hyperelliptic curve C.
DefiningPolynomial(C) : Sch -> RngMPolElt
A weighted homogeneous polynomial for the hyperelliptic curve C.
EvaluatePolynomial(C, a, b, c) : CrvHyp, RngElt, RngElt, RngElt -> RngElt
EvaluatePolynomial(C, [a, b, c]) : CrvHyp, [RngElt] -> RngElt
Evaluates the homogeneous defining polynomial of the hyperelliptic curve C at the point (a, b, c).
V2.28, 13 July 2023