On the splitting of the Kummer exact sequence
[La suite de Kummer est scindée]
Publications Mathématiques de Besançon - Algèbre et Théorie des Nombres, no. 2 (2019), pp. 19-27.

Nous montrons que la suite de Kummer, ainsi que d’autres suites exactes du même type, sont scindées.

We prove the splitting of the Kummer exact sequence and related exact sequences in arithmetic geometry.

Reçu le :
Publié le :
DOI : https://doi.org/10.5802/pmb.34
Classification : 18G10,  14K15,  11R29,  20K10
Mots clés : Kummer exact sequence, abelian varieties, Selmer groups.
@article{PMB_2019___2_19_0,
     author = {Gillibert, Jean and Gillibert, Pierre},
     title = {On the splitting of the Kummer exact sequence},
     journal = {Publications Math\'ematiques de Besan\c{c}on - Alg\`ebre et Th\'eorie des Nombres},
     pages = {19--27},
     publisher = {Presses universitaires de Franche-Comt\'e},
     number = {2},
     year = {2019},
     doi = {10.5802/pmb.34},
     language = {en},
     url = {http://www.numdam.org/articles/10.5802/pmb.34/}
}
Gillibert, Jean; Gillibert, Pierre. On the splitting of the Kummer exact sequence. Publications Mathématiques de Besançon - Algèbre et Théorie des Nombres, no. 2 (2019), pp. 19-27. doi : 10.5802/pmb.34. http://www.numdam.org/articles/10.5802/pmb.34/

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