In arithmetic geometry, the Cox–Zucker machine is an algorithm introduced by David A. Cox and Steven Zucker for studying elliptic surfaces. It determines whether a given set of sections of an elliptic surface provides a basis, up to torsion, for the surface's Mordell–Weil group, in the case where the base curve is isomorphic to the projective line.
In arithmetic geometry, the Cox–Zucker machine is an algorithm introduced by David A. Cox and Steven Zucker for studying elliptic surfaces. It determines whether a given set of sections of an elliptic surface provides a basis, up to torsion, for the surface's Mordell–Weil group, in the case where the base curve is isomorphic to the projective line.
Source: Wikipedia "Cox–Zucker machine" · CC BY-SA 4.0
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