Superelliptic jacobians
classification
🧮 math.AG
math.NT
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groupjacobianssuperellipticalgebrascharacteristiccubiccurvesdiscuss
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We discuss the structure of the endomorphism algebras of the jacobians of superelliptic curves y^q=f(x) where q is a prime power and f(x) is an irreducible cubic or quartic polynomial over the field of rational functions k(t) in characteristic zero, whose Galois group is the full symmetric group.
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