Results 41 to 50 of about 772 (199)
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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Galois Module Structure and Elliptic Functions
Journal of Number Theory, 1995 The subject of this paper is the problem of determining the Galois module structure of rings of integers \({\mathcal O}_L\) of abelian extensions \(L\) of a number field \(K\). By a classical result of Leopoldt \({\mathcal O}_L\) is free as a module over the associated order.
openaire +3 more sources
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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On the finiteness of maps into simple abelian varieties satisfying certain tangency conditions
Bulletin of the London Mathematical Society, Volume 57, Issue 9, Page 2723-2730, September 2025.Abstract We show that given a simple abelian variety A$A$ and a normal variety V$V$ defined over a finitely generated field K$K$ of characteristic zero, the set of non‐constant morphisms V→A$V \rightarrow A$ satisfying certain tangency conditions imposed by a Campana orbifold divisor Δ$\Delta$ on A$A$ is finite.
Finn Bartsch
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On Modules Associated to Coalgebra Galois Extensions
Journal of Algebra, 1999 For a given entwining structure $(A,C)_ $ involving an algebra $A$, a coalgebra $C$, and an entwining map $ : C\otimes A\to A\otimes C$, a category $\M_A^C( )$ of right $(A,C)_ $-modules is defined and its structure analysed. In particular, the notion of a measuring of $(A,C)_ $ to $(\tA,\tC)_\tpsi$ is introduced, and certain functors between ...
openaire +4 more sources
Taking limits in topological recursion
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract When does topological recursion applied to a family of spectral curves commute with taking limits? This problem is subtle, especially when the ramification structure of the spectral curve changes at the limit point. We provide sufficient (straightforward‐to‐use) conditions for checking when the commutation with limits holds, thereby closing a ...
Gaëtan Borot +4 more
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Cyclic cubic points on higher genus curves
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract The distribution of degree d$d$ points on curves is well understood, especially for low degrees. We refine this study to include information on the Galois group in the simplest interesting case: d=3$d = 3$. For curves of genus at least 5, we show cubic points with Galois group C3$C_3$ arise from well‐structured morphisms, along with providing ...
James Rawson
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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
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Hasse principle for Kummer varieties in the case of generic 2‐torsion
Proceedings of the London Mathematical Society, Volume 131, Issue 1, July 2025.Abstract Conditional on finiteness of relevant Shafarevich–Tate groups, Harpaz and Skorobogatov used Swinnerton‐Dyer's descent‐fibration method to establish the Hasse principle for Kummer varieties associated to a 2‐covering of a principally polarised abelian variety under certain largeness assumptions on its mod 2 Galois image.
Adam Morgan
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