Level Raising and Anticyclotomic Selmer Groups for Hilbert Modular Forms of Weight Two
Canadian journal of mathematics, Tome 64 (2012) no. 3, pp. 588-668
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In this article we refine the method of Bertolini and Darmon $\left[ \text{BD}1 \right],\,\left[ \text{BD2} \right]$ and prove several finiteness results for anticyclotomic Selmer groups of Hilbert modular forms of parallel weight two.
Mots-clés :
11G40, 11F41, 11G18, Hilbert modular forms, Selmer groups, Shimura curves
Nekovář, Jan. Level Raising and Anticyclotomic Selmer Groups for Hilbert Modular Forms of Weight Two. Canadian journal of mathematics, Tome 64 (2012) no. 3, pp. 588-668. doi: 10.4153/CJM-2011-077-6
@article{10_4153_CJM_2011_077_6,
author = {Nekov\'a\v{r}, Jan},
title = {Level {Raising} and {Anticyclotomic} {Selmer} {Groups} for {Hilbert} {Modular} {Forms} of {Weight} {Two}},
journal = {Canadian journal of mathematics},
pages = {588--668},
year = {2012},
volume = {64},
number = {3},
doi = {10.4153/CJM-2011-077-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-077-6/}
}
TY - JOUR AU - Nekovář, Jan TI - Level Raising and Anticyclotomic Selmer Groups for Hilbert Modular Forms of Weight Two JO - Canadian journal of mathematics PY - 2012 SP - 588 EP - 668 VL - 64 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-077-6/ DO - 10.4153/CJM-2011-077-6 ID - 10_4153_CJM_2011_077_6 ER -
%0 Journal Article %A Nekovář, Jan %T Level Raising and Anticyclotomic Selmer Groups for Hilbert Modular Forms of Weight Two %J Canadian journal of mathematics %D 2012 %P 588-668 %V 64 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-077-6/ %R 10.4153/CJM-2011-077-6 %F 10_4153_CJM_2011_077_6
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