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.
Publié le :
DOI : 10.5802/pmb.34
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/} }
TY - JOUR AU - Gillibert, Jean AU - Gillibert, Pierre TI - On the splitting of the Kummer exact sequence JO - Publications mathématiques de Besançon. Algèbre et théorie des nombres PY - 2019 SP - 19 EP - 27 IS - 2 PB - Presses universitaires de Franche-Comté UR - http://www.numdam.org/articles/10.5802/pmb.34/ DO - 10.5802/pmb.34 LA - en ID - PMB_2019___2_19_0 ER -
%0 Journal Article %A Gillibert, Jean %A Gillibert, Pierre %T On the splitting of the Kummer exact sequence %J Publications mathématiques de Besançon. Algèbre et théorie des nombres %D 2019 %P 19-27 %N 2 %I Presses universitaires de Franche-Comté %U http://www.numdam.org/articles/10.5802/pmb.34/ %R 10.5802/pmb.34 %G en %F PMB_2019___2_19_0
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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