Hyperelliptic jacobians without complex multiplication
classification
🧮 math.AG
math.NT
keywords
hyperellipticalgebraiccharacteristicclosurecomplexcurveendomorphismsfield
read the original abstract
We prove that the jacobian of a hyperelliptic curve y^2=f(x) has no nontrivial endomorphisms over an algebraic closure of the ground field of characteristic zero if the Galois group of the polynomial f is ``very big''.
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