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Field of moduli versus field of definition for cyclic covers of the projective line
Author(s) -
Aristides Kontogeorgis
Publication year - 2009
Publication title -
journal de théorie des nombres de bordeaux
Language(s) - French
Resource type - Journals
SCImago Journal Rank - 0.663
H-Index - 26
eISSN - 2118-8572
pISSN - 1246-7405
DOI - 10.5802/jtnb.694
Subject(s) - mathematics , projective line , pure mathematics , field (mathematics) , projective test , combinatorics , projective space
Nous donnons un critere, dependant du groupe des automorphismes, pour que certains revetements cycliques de la droite projective soient definis sur leur corps de modules. Nous donnons aussi un exemple de revetement cyclique de la droite projective complexe de corps de module R qui ne peut pas etre defini sur R.

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