The projective geometry of curves of genus one, and an algorithm for the Jacobian of such a curve

Given equations with k-rational coefficients that define a curve C of genus 1 over a perfect field k, can we find equations that define its jacobian J(C)? The problem is trivial when the degree n of a k-rational divisor on C is equal to 1. For the cases 2 ≤ n ≤ 4, certain standard forms for C appe...

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Bibliographic Details
Main Author: Perlis, Alexander R.
Other Authors: McCallum, William G.
Language:en_US
Published: The University of Arizona. 2004
Subjects:
Online Access:http://hdl.handle.net/10150/280640