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Superelliptic jacobians

Yuri G. Zarhin
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Abstract

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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Yuri G. Zarhin. 2006-05-27. Superelliptic jacobians. https://arxiv.org/abs/math/0601072

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