Growth of Selmer Groups of CM Abelian Varieties
Canadian journal of mathematics, Tome 67 (2015) no. 3, pp. 654-666
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Let $p$ be an odd prime. We study the variation of the $p$ -rank of the Selmer groups ofAbelian varieties with complex multiplication in certain towers of number fields.
Mots-clés :
11G15, 11G10, 11R23, 11R34, Selmer group, Abelian variety with complex multiplication, Zp–extension, p–Hilbert class tower
Lim, Meng Fai; Murty, V. Kumar. Growth of Selmer Groups of CM Abelian Varieties. Canadian journal of mathematics, Tome 67 (2015) no. 3, pp. 654-666. doi: 10.4153/CJM-2014-041-1
@article{10_4153_CJM_2014_041_1,
author = {Lim, Meng Fai and Murty, V. Kumar},
title = {Growth of {Selmer} {Groups} of {CM} {Abelian} {Varieties}},
journal = {Canadian journal of mathematics},
pages = {654--666},
year = {2015},
volume = {67},
number = {3},
doi = {10.4153/CJM-2014-041-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2014-041-1/}
}
TY - JOUR AU - Lim, Meng Fai AU - Murty, V. Kumar TI - Growth of Selmer Groups of CM Abelian Varieties JO - Canadian journal of mathematics PY - 2015 SP - 654 EP - 666 VL - 67 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2014-041-1/ DO - 10.4153/CJM-2014-041-1 ID - 10_4153_CJM_2014_041_1 ER -
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