Results 11 to 20 of about 114 (105)
The Iwasawa Main Conjectures for GL2 [PDF]
Inventiones mathematicae, 2013 We prove the one-, two-, and three-variable Iwasawa-Greenberg Main Conjectures for a large class of modular forms that are ordinary with respect to an odd prime p. The method of proof involves an analysis of an Eisenstein ideal for ordinary Hida families for GU(2,2).
Christopher Skinner, Eric Urban
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Iwasawa main conjecture for the Carlitz cyclotomic extension and applications [PDF]
Mathematische Annalen, 2019 Section 3 entirely ...
Bruno Anglès +3 more
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CODIMENSION TWO CYCLES IN IWASAWA THEORY AND ELLIPTIC CURVES WITH SUPERSINGULAR REDUCTION
Forum of Mathematics, Sigma, 2019 A result of Bleher, Chinburg, Greenberg, Kakde, Pappas, Sharifi and Taylor has initiated the topic of higher codimension Iwasawa theory. As a generalization of the classical Iwasawa main conjecture, they prove a relationship between analytic objects (a ...
ANTONIO LEI, BHARATHWAJ PALVANNAN
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EULER SYSTEMS FOR HILBERT MODULAR SURFACES
Forum of Mathematics, Sigma, 2018 We construct an Euler system—a compatible family of global cohomology classes—for the Galois representations appearing in the geometry of Hilbert modular surfaces.
ANTONIO LEI +2 more
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An Equivariant Main Conjecture in Iwasawa theory and applications
Journal of Algebraic Geometry, 2015 We construct a new class of Iwasawa modules, which are the number field analogues of the p p -adic realizations of the ...
Greither, Cornelius +1 more
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Bloch-Kato conjecture and main conjecture of Iwasawa theory for Dirichlet characters [PDF]
Duke Mathematical Journal, 2003 This is the completely revised version of math.AG/0101071.
Huber, Annette, Kings, Guido
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On the two-variable Iwasawa main conjecture [PDF]
Compositio Mathematica, 2006 This paper is a continuation of the author's previous work, where we studied one of the inequalities between the characteristic ideal of the Selmer group and the ideal of the -function solving some of the open questions raised in the author's previous work.
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Hida duality and the Iwasawa main conjecture [PDF]
Mathematische Annalen, 2019 The central result of this paper is a refinement of Hida's duality theorem between ordinary Lambda-adic modular forms and the universal ordinary Hecke algebra. Specifically, we give a necessary condition for this duality to be integral with respect to particular submodules of the space ordinary Lambda-adic modular forms.
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On the anticyclotomic Iwasawa main conjecture for modular forms [PDF]
Compositio Mathematica, 2014 We generalize the work of Bertolini and Darmon on the anticyclotomic main conjecture for elliptic curves to modular forms of higher weight.
Chida, Masataka, Hsieh, Ming-Lun
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On the equivariant main conjecture of Iwasawa theory [PDF]
Acta Arithmetica, 2006 24 pages, minor changes, final version, to appear in Acta ...
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