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# Mathematical Research Letters

## Volume 18 (2011)

### Number 4

### Hodge Groups of Certain Superelliptic Jacobians II

Pages: 579 – 590

DOI: https://dx.doi.org/10.4310/MRL.2011.v18.n4.a1

#### Author

#### Abstract

We determine the Hodge group of certain simple factor of the Jacobian of the superelliptic curve $y^q=f(x)$, assuming that the ground field is a subfield of the complex numbers, $f(x)$ is an degree $n \geq 4$ irreducible polynomial with “large” galois group, and $q$ is a prime power coprime to $n$ and greater than $n$. The case $q<n$ was previous treated in a joint work with Yu.G. Zarhin.

Published 19 August 2011