Bosca: Comparing orders of Selmer groups

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Sébastien Bosca
Comparing orders of Selmer groups
Journal de théorie des nombres de Bordeaux, 17 no. 2 (2005), p. 467-473, doi: 10.5802/jtnb.502
Article PDF | Reviews MR 2211302 | Zbl 1098.11056 | 1 citation in Cedram

Résumé - Abstract

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.

Bibliography

[1] Henri Cohen, Francisco Diaz y Diaz, Michel Olivier, Counting Cyclic Quartic Extensions of a Number Field. Journal de Théorie des Nombres de Bordeaux 17 (2005), 475–510. Cedram | MR 2211303 | Zbl 05016570
[2] Georges Gras, Class Field Theory, from theory to practice. Springer Monographs in Mathematics, second edition 2005. MR 1941965 | Zbl 1019.11032