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Aristides Kontogeorgis
Field of moduli versus field of definition for cyclic covers of the projective line
Journal de théorie des nombres de Bordeaux, 21 no. 3 (2009), p. 679-693, doi: 10.5802/jtnb.694
Article PDF | Reviews MR 2605539 | Zbl 1201.14020

Résumé - Abstract

$\!$ We give a criterion, based on the automorphism group, for certain cyclic covers of the projective line to be defined over their field of moduli. An example of a cyclic cover of the complex projective line with field of moduli $\mathbb{R}$ that can not be defined over $\mathbb{R}$ is also given.

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