Comparing orders of Selmer groups
Journal de Théorie des Nombres de Bordeaux, Tome 17 (2005) no. 2, pp. 467-473.

En utilisant la théorie du corps de classes et la théorie de Kummer, nous calculons l’ordre de deux groupes de Selmer, et nous les comparons : le quotient des deux ordres ne dépend que de conditions locales.

Using both class field and Kummer theories, we propose calculations of orders of two Selmer groups, and compare them: the quotient of the orders only depends on local criteria.

@article{JTNB_2005__17_2_467_0,
     author = {S\'ebastien Bosca},
     title = {Comparing orders of Selmer groups},
     journal = {Journal de Th\'eorie des Nombres de Bordeaux},
     pages = {467--473},
     publisher = {Universit\'e Bordeaux 1},
     volume = {17},
     number = {2},
     year = {2005},
     doi = {10.5802/jtnb.502},
     zbl = {1098.11056},
     mrnumber = {2211302},
     language = {en},
     url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.502/}
}
Sébastien Bosca. Comparing orders of Selmer groups. Journal de Théorie des Nombres de Bordeaux, Tome 17 (2005) no. 2, pp. 467-473. doi : 10.5802/jtnb.502. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.502/

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