Hodge Groups of Certain Superelliptic Jacobians II (original) (raw)

Abstract

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This paper focuses on the Hodge groups associated with certain superelliptic Jacobians, particularly extending results previously known for hyperelliptic cases to scenarios where the degree of the polynomial defining the curve is less than the prime power involved in the curve's definition. The authors explore the implications of these groups in relation to the structure of the Jacobian, revealing additional properties that lead to a deeper understanding of the Hodge groups in the context of superelliptic curves and their applications in the study of Mordell-Weil groups.

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