Endomorphism algebras of Jacobians of certain superelliptic curves

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Xue, Jiangwei
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Abstract
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Let $p$ be a prime, and $q$ a power of $p$. Using Galois theory, we show that over a field $K$ of characteristic zero, the endomorphism algebras of the jacobians of certain superelliptic curves $y^q=f(x)$ are products of cyclotomic fields.
Comment: 11 pages
Keywords
Mathematics - Algebraic Geometry, Mathematics - Number Theory
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