Geodesic
On Tate–Shafarevich groups of 1-motives
Cristian D. González-Avilés1
1 Departamento de Matemáticas Universidad de La Serena Cisternas 1200 La Serena 1700000, Chile
Acta Arithmetica, Tome 177 (2017) no. 1, pp. 75-89.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We establish the finiteness of the kernel and cokernel of the restriction map ${\rm res}^{i}\colon Ш^{i}(F,M)\to Ш^{i}(K,M)^{\varGamma}$ for $i=1$ and $2$, where $M$ is a (Deligne) $1$-motive over a global field $F$, and $K/ F$ is a finite Galois extension of global fields with Galois group $\varGamma$.
DOI : 10.4064/aa8489-8-2016
Keywords: establish finiteness kernel cokernel restriction map res colon sha sha vargamma where deligne motive global field nbsp finite galois extension global fields galois group nbsp vargamma

Cristian D. González-Avilés 1

1 Departamento de Matemáticas Universidad de La Serena Cisternas 1200 La Serena 1700000, Chile 
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Cristian D. González-Avilés. On Tate–Shafarevich groups of 1-motives. Acta Arithmetica, Tome 177 (2017) no. 1, pp. 75-89. doi : 10.4064/aa8489-8-2016. http://geodesic.mathdoc.fr/articles/10.4064/aa8489-8-2016/

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