Results 1 to 10 of about 292 (134)
Iwasawa theory for weighted graphs
Annales Mathematiques Du Quebec33 pages, 7 ...
Adachi, Taiga +2 more
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Toward equivariant Iwasawa theory, III [PDF]
Mathematische Annalen, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ritter, Jürgen, Weiss, Alfred
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Iwasawa theory for Artin representations I [PDF]
Advanced Studies in Pure Mathematics, 2021 This article is the first of a pair of articles dealing with the Iwasawa theory of modular forms of weight 1 and, more generally, of Artin representations satisfying certain conditions. The main results in this part analyze the structure of certain Selmer groups for the Artin representation.
Greenberg, Ralph, Vatsal, Vinayak
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On the “main conjecture” of equivariant Iwasawa theory [PDF]
Journal of the American Mathematical Society, 2011 We prove the “main conjecture” of equivariant Iwasawa theory when μ =
Ritter, Jürgen, Weiss, Alfred
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A geometric view on Iwasawa theory [PDF]
Journal de théorie des nombres de Bordeaux, 2022 This article extends our study of the geometry of the p -adic eigencurve at a point defined by a weight 1 cuspform f
Betina, Adel, Dimitrov, Mladen
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Arithmetic statistics and noncommutative Iwasawa theory
Documenta Mathematica, 2022 Let p be an odd prime. Associated to a pair (E, \mathcal{F}_\infty) consisting of a rational elliptic curve E
Debanjana Kundu, Anwesh Ray, Antonio Lei
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Iwasawa Theory of Jacobians of Graphs
Algebraic Combinatorics, 2022 The Jacobian group (also known as the critical group or sandpile group) is an important invariant of a finite, connected graph X ; it is a finite abelian group whose cardinality is equal to the number of spanning trees of
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Modular Symbols in Iwasawa Theory [PDF]
, 2014 This survey paper is focused on a connection between the geometry of $\mathrm{GL}_d$ and the arithmetic of $\mathrm{GL}_{d-1}$ over global fields, for integers $d \ge 2$. For $d = 2$ over $\mathbb{Q}$, there is an explicit conjecture of the third author relating the geometry of modular curves and the arithmetic of cyclotomic fields, and it is proven in
Fukaya, Takako +2 more
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Residual supersingular Iwasawa theory and signed Iwasawa invariants
Rendiconti del Seminario Matematico della Università di Padova, 2023 For an odd prime p and a supersingular elliptic curve over a number field, this article introduces a multi-signed residual Selmer group, under certain hypotheses on the base field. This group depends purely on the residual representation at
Filippo Alberto Edoardo Nuccio Mortarino Majno Di Capriglio +1 more
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Iwasawa theory for the anticyclotomic extension [PDF]
Pacific Journal of Mathematics, 1985 Let \(E\) be an elliptic curve over \(\mathbb Q\) with complex multiplication by the ring of integers of a quadratic imaginary field \(K\), and let \(p\) be a prime, different from 2 and 3, which splits in \(K\). The author determines the \(\Lambda\)-module structure of the local units modulo elliptic units for the anticyclotomic \(\mathbb Z_p ...
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