Resultats globals: 6 registres trobats en 0.02 segons.
Articles, 4 registres trobats
Llibres i col·leccions, 1 registres trobats
Documents de recerca, 1 registres trobats
Articles 4 registres trobats  
1.
20 p, 405.5 KB Characteristic ideals and Iwasawa theory / 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 (Xi'an Jiaotong-Liver-pool University. Department of Mathematical Sciences (China))
Let Λ be a nonnoetherian Krull domain which is the inverse limit of noetherian Krull domains Λd and let M be a finitely generated Λ-module which is the inverse limit of Λd-modules Md. Under certain hypotheses on the rings Λd and on the modules Md, we define a pro-characteristic ideal for M in Λ, which should play the role of the usual characteristic ideals for finitely generated modules over noetherian Krull domains. [...]
2014
New York Journal of Mathematics, Vol. 20 (2014) , p. 759-778  
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  
3.
36 p, 438.1 KB Iwasawa main conjecture for the Carlitz cyclotomic extension and applications / Anglès, Bruno (Université de Caen. Laboratoire de Mathématiques Nicolas Oresme (France)) ; 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 (Xi'an Jiaotong-Liverpool University. Department of Mathematical Sciences (China))
We prove an Iwasawa Main Conjecture for the class group of the p-cyclotomic extension F of the function field Fq(θ) (p is a prime of Fq[θ]), showing that its Fitting ideal is generated by a Stickelberger element. [...]
2020 - 10.1007/s00208-019-01875-8
Mathematische Annalen, Vol. 376, Issue 1-2 (February 2020) , p. 475-523  
4.
18 p, 380.3 KB Coleman's power series and Wiles' reciprocity for rank 1 Drinfeld modules / Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Longhi, Ignazio (National Taiwan University. Department of Mathematics (Taiwan))
We introduce the formalism of Coleman's power series for rank 1 Drinfeld modules and apply it to formulate and prove the analogue of Wiles' explicit reciprocity law in this setting.
2009 - 10.1016/j.jnt.2008.12.005
Journal of Number Theory, Vol. 129, Issue 4 (April 2009) , p. 789-805  

Llibres i col·leccions 1 registres trobats  
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  

Documents de recerca 1 registres trobats  
1.
32 p, 355.1 KB Aspects of Iwasawa theory over function fields / Bandini, Andrea (Universita della Calabria. Dipartimento di Matematica) ; Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Longhi, Ignazio (National Taiwan University. Department of Mathematics) ; Centre de Recerca Matemàtica
We consider Z N p-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. [...]
Centre de Recerca Matemàtica 2010 (Prepublicacions del Centre de Recerca Matemàtica ; 923)  

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