Hodge Groups of certain Superelliptic Jacobians II

Details Hodge Groups of certain Superelliptic Jacobians II Hodge Groups of certain Superelliptic Jacobians II

2011-01-10

arxiv.org/abs/1101.1743v1

Mathematics

Algebraic Geometry

11 pages. This paper is a natural extension of previously published paper "Hodge groups of certain superelliptic Jacobians. Ma

Scientific paper

Let K be a field of characteristic zero, f(x) be a polynomial with
coefficients in K and without multiple roots. We consider the superelliptic
curve C_{f,q} defined by y^q=f(x), where q=p^r is a power of a prime p. We
determine the Hodge group of the simple factors of the Jacobian of C_{f,q}.

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