Comparing orders of Selmer groups
- [1] Université de Bordeaux I Laboratoire A2X 351, cours de la libération 33405 TALENCE Cedex, France
Journal de Théorie des Nombres de Bordeaux (2005)
- Volume: 17, Issue: 2, page 467-473
- ISSN: 1246-7405
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topBosca, Sébastien. "Comparing orders of Selmer groups." Journal de Théorie des Nombres de Bordeaux 17.2 (2005): 467-473. <http://eudml.org/doc/249442>.
@article{Bosca2005,
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.},
affiliation = {Université de Bordeaux I Laboratoire A2X 351, cours de la libération 33405 TALENCE Cedex, France},
author = {Bosca, Sébastien},
journal = {Journal de Théorie des Nombres de Bordeaux},
keywords = {class field; radical; Kummer extension; ray; ambiguous classes formula; idele group; set of places},
language = {eng},
number = {2},
pages = {467-473},
publisher = {Université Bordeaux 1},
title = {Comparing orders of Selmer groups},
url = {http://eudml.org/doc/249442},
volume = {17},
year = {2005},
}
TY - JOUR
AU - Bosca, Sébastien
TI - Comparing orders of Selmer groups
JO - Journal de Théorie des Nombres de Bordeaux
PY - 2005
PB - Université Bordeaux 1
VL - 17
IS - 2
SP - 467
EP - 473
AB - 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.
LA - eng
KW - class field; radical; Kummer extension; ray; ambiguous classes formula; idele group; set of places
UR - http://eudml.org/doc/249442
ER -
References
top- 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. Zbl1090.11068MR2211303
- Georges Gras, Class Field Theory, from theory to practice. Springer Monographs in Mathematics, second edition 2005. Zbl1019.11032MR1941965
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