Results 41 to 50 of about 17,737 (190)
A note on local formulae for the parity of Selmer ranks
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3112-3132, October 2025.Abstract In this note, we provide evidence for a certain ‘twisted’ version of the parity conjecture for Jacobians, introduced in prior work of Dokchitser, Green, Konstantinou and the author. To do this, we use arithmetic duality theorems for abelian varieties to study the determinant of certain endomorphisms acting on p∞$p^\infty$‐Selmer groups.
Adam Morgan
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Karpatsʹkì Matematičnì Publìkacìï, 2019 Grassmann codes are linear codes associated with the Grassmann variety $G(\ell,m)$ of $\ell$-dimensional subspaces of an $m$ dimensional vector space $\mathbb{F}_{q}^{m}.$ They were studied by Nogin for general $q.$ These codes are conveniently described
M.A. Rakdi, N. Midoune
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On Greenberg's $L$-invariant of the symmetric sixth power of an ordinary cusp form
, 2010 We derive a formula for Greenberg's $L$-invariant of Tate twists of the symmetric sixth power of an ordinary non-CM cuspidal newform of weight $\geq4$, under some technical assumptions.
Benois +11 more
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Galois cohomology and Galois representations
Inventiones Mathematicae, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Two Theorems on Galois Cohomology [PDF]
Proceedings of the American Mathematical Society, 1966 \(K\) sei eine endliche Zahlkörpererweiterung von \(k\) mit Galoisgruppe \(G\) und \(O_K\) der Ring der ganzen Zahlen, aufgefaßt als \(Z[G]\)-Modul. In Verallgemeinerung eines Satzes von \textit{H. Yokoi} [Proc. Japan Acad. 38, 499--501 (1962; Zbl 0122.04303)] werden die folgenden Sätze bewiesen: Theorem 1.
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Motivic p$p$‐adic tame cohomology
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3194-3210, October 2025.Abstract We construct a comparison functor between (A1$\mathbf {A}^1$‐local) tame motives and (□¯${\overline{\square }}$‐local) log‐étale motives over a field k$k$ of positive characteristic. This generalizes Binda–Park–Østvær's comparison for the Nisnevich topology.
Alberto Merici
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Forum of Mathematics, SigmaThis article presents new rationality results for the ratios of critical values of Rankin–Selberg L-functions of $\mathrm {GL}(n) \times \mathrm {GL}(n')$ over a totally imaginary field $F.$ The proof is based on a cohomological ...
A. Raghuram
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On the descending central sequence of absolute Galois groups
, 2011 Let $p$ be an odd prime number and $F$ a field containing a primitive $p$th root of unity. We prove a new restriction on the group-theoretic structure of the absolute Galois group $G_F$ of $F$. Namely, the third subgroup $G_F^{(3)}$ in the descending $p$-
Efrat, Ido, Minac, Jan
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The relative Hodge–Tate spectral sequence for rigid analytic spaces
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract We construct a relative Hodge–Tate spectral sequence for any smooth proper morphism of rigid analytic spaces over a perfectoid field extension of Qp$\mathbb {Q}_p$. To this end, we generalise Scholze's strategy in the absolute case by using smoothoid adic spaces.
Ben Heuer
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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
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