Results 41 to 50 of about 302 (145)
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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Mathematika, Volume 71, Issue 4, October 2025.Abstract Let E$E$ be an elliptic curve defined over Q${\mathbb {Q}}$, and let K$K$ be an imaginary quadratic field. Consider an odd prime p$p$ at which E$E$ has good supersingular reduction with ap(E)=0$a_p(E)=0$ and which is inert in K$K$. Under the assumption that the signed Selmer groups are cotorsion modules over the corresponding Iwasawa algebra ...
Erman Işik, Antonio Lei
wiley +1 more source
Soft bounds for local triple products and the subconvexity‐QUE implication for GL2$\mathrm{GL}_2$
Mathematika, Volume 71, Issue 4, October 2025.Abstract We give a soft proof of a uniform upper bound for the local factors in the triple product formula, sufficient for deducing effective and general forms of quantum unique ergodicity (QUE) from subconvexity.
Paul D. Nelson
wiley +1 more source
Deformations of Anosov subgroups: Limit cones and growth indicators
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract Let G$G$ be a connected semisimple real algebraic group. We prove that limit cones vary continuously under deformations of Anosov subgroups of G$G$ under a certain convexity assumption, which turns out to be necessary. We apply this result to the notion of sharpness for the action of a discrete subgroup on a non‐Riemannian homogeneous space ...
Subhadip Dey, Hee Oh
wiley +1 more source
Parity of ranks of Jacobians of curves
Proceedings of the London Mathematical Society, Volume 131, Issue 3, September 2025.Abstract We investigate Selmer groups of Jacobians of curves that admit an action of a non‐trivial group of automorphisms, and give applications to the study of the parity of Selmer ranks. Under the Shafarevich–Tate conjecture, we give an expression for the parity of the Mordell–Weil rank of an arbitrary Jacobian in terms of purely local invariants ...
Vladimir Dokchitser +3 more
wiley +1 more source
Iwasawa Dieudonné theory of function fields
, 2022 Let $k$ be a perfect field of characteristic $p$ and $Γ$ an infinite, first countable pro-$p$ group. We study the behavior of the $p$-primary part of the "motivic class group", i.e. the full $p$-divisible group of the Jacobian, in any $Γ$-tower of function fields over $k$ that is unramified outside a finite (possibly empty) set of places $Σ$, and ...
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, 2018 Aquest treball és una introducció a la teoria clàssica d'Iwasawa. La primera part del treball està dedicada a demostrar un teorema d'estructura pels mòduls sobre l'anell de sèries de potències amb coeficients enters p-àdics i a demostrar el teorema de control d'Iwasawa, que estableix el comportament del grup de classes en torres d'extensions de cossos ...
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Electrochemical and spectroscopic properties of twisted dibenzo[g,p]chrysene derivatives. [PDF]
Beilstein J Org Chem, 2022 Imai T +4 more
europepmc +1 more source
IWASAWA THEORY AND THE REPRESENTATIONS OF FINITE GROUPS
Bulletin of the Australian Mathematical SocietyAbstract We develop a representation-theoretic refinement of the Iwasawa theory of finite Cayley graphs. Building on analogies between graph zeta functions and number-theoretic L -functions, we study
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, 2010 In Part I we review some specific properties of the $Λ$-modules in Iwasawa theory, which add structure to the general properties of Noetherian $Λ$-torsion modules. Part II deals with Kummer theory and gives a detailed construction of the Iwasawa linear space. This provides a new, simpler proof of the conjectures of Leopoldt and Gross for CM extensions.
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