## Endomorphism algebras of Jacobians of certain superelliptic curves

Xue, Jiangwei
##### Description
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