Document Type

Article

Publication Date

1-2014

Department

Mathematics

Abstract

We consider which integers g can occur as the genus and of a curve defined over a field of characteristic p which admits an automorphism of degree pq, where p and q are distinct primes. This investigation leads us to consider a certain family of three-dimensional Frobenius problems and prove explicit formulas giving their solution in many cases.

DOI

10.1017/S0017089513000128

Required Publisher's Statement

This article was published online in August 2013.

Original version is available from the publisher at: http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9095478

Included in

Number Theory Commons

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