Algebraic covers : field of moduli versus field of definition
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 30 (1997) no. 3, pp. 303-338. 
@article{ASENS_1997_4_30_3_303_0,
     author = {D\`ebes, Pierre and Douai, Jean-Claude},
     title = {Algebraic covers : field of moduli versus field of definition},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {303--338},
     publisher = {Elsevier},
     volume = {Ser. 4, 30},
     number = {3},
     year = {1997},
     doi = {10.1016/s0012-9593(97)89922-3},
     mrnumber = {98k:11081},
     zbl = {0906.12001},
     language = {en},
     url = {http://www.numdam.org/articles/10.1016/s0012-9593(97)89922-3/}
}
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Dèbes, Pierre; Douai, Jean-Claude. Algebraic covers : field of moduli versus field of definition. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 30 (1997) no. 3, pp. 303-338. doi : 10.1016/s0012-9593(97)89922-3. http://www.numdam.org/articles/10.1016/s0012-9593(97)89922-3/

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