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Articles, 2 records found
Books and collections, 1 records found
Articles 2 records found  
1.
31 p, 491.7 KB Iwasawa theory of Hilbert modular forms for anticyclotomic extensions without Ihara's lemma / Xie, Bingyong (East China Normal University (Shanghai, Xina))
Following Bertolini and Darmon's method, with "Ihara's lemma" among other conditions Longo and Wang proved one divisibility of the Iwasawa main conjecture for Hilbert modular forms of weight 2 and general low even parallel weight in the anticyclotomic setting respectively. [...]
2024 - 10.5565/PUBLMAT6812403
Publicacions matemàtiques, Vol. 68 Núm. 1 (2024) , p. 41-71 (Articles)  
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2.
12 p, 270.0 KB Characteristic ideals and Selmer groups / Bandini, Andrea (Università degli Studi di Parma. Dipartimento di Matematica e Informatica (Italy)) ; Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Longhi, Ignazio (Department of Mathematical Sciences, Xi'an Jiaotong-Liverpool University)
Let A be an abelian variety defined over a global field F of positive characteristic p and let F/F be a ZpN-extension, unramified outside a finite set of places of F. Assuming that all ramified places are totally ramified, we define a pro-characteristic ideal associated to the Pontrjagin dual of the p-primary Selmer group of A. [...]
2015 - 10.1016/j.jnt.2015.05.011
Journal of Number Theory, Vol. 157 (December 2015) , p. 530-546  
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Books and collections 1 records found  
1.
43 p, 718.2 KB Aspects of Iwasawa theory over function fields / Bandini, Andrea (Università degli Studi di Parma. Dipartimento di Matematica e Informatica (Italy)) ; Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Longhi, Ignazio (National Taiwan University. Department of Mathematics (Taiwan))
We consider ZNp-extensions F of a global function field F and study various aspects of Iwasawa theory with emphasis on the two main themes already (and still) developed in the number fields case as well. [...]
Zurich, Switzerland : European Mathematical Society Publishing House, 2020 (EMS Series of Congress Reports) - 10.4171/198-1/7
t-Motives: Hodge Structures, Transcendence and Other Motivic Aspects, 2020, p. 375-416  
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