A Drinfeld module over an -field
is a ring homomorphism
from
to the ring of additive polynomials
, where
, whose constant term is the structural image of
and which is not the scalar homomorphism.
Its rank is determined by the highest Frobenius degree and plays the role of the
dimension of an elliptic curve.
Drinfeld Module
See also
Drinfeld Ring, Elliptic Curve, Finite FieldExplore with Wolfram|Alpha
References
Goss, D. Basic Structures of Function Field Arithmetic. Berlin, Germany: Springer-Verlag, 1996.Cite this as:
Weisstein, Eric W. "Drinfeld Module." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/DrinfeldModule.html