Results 51 to 60 of about 775 (194)
Galois Scaffolds and Galois Module Structure for Totally Ramified $C_p^2$-Extensions in Characteristic 0 [PDF]
, 2021 Kevin Keating, Paul H. Schwartz
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Precrossed modules and Galois theory
Journal of Algebra, 2006 Precrossed and crossed modules have an important role in homotopy theory and homological algebra. The adjunction between crossed modules and precrossed modules over a fixed group can be seen as a special case of a more general adjunction between internal groupoids and internal reflexive graphs in a Mal'tsev variety.
Everaert, Tomas, Gran, Marino
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Galois functors and generalised Hopf modules [PDF]
Journal of Homotopy and Related Structures, 2014 As shown in a previous paper by the same authors, the theory of Galois functors provides a categorical framework for the characterisation of bimonads on any category as Hopf monads and also for the characterisation of opmonoidal monads on monoidal categories as right Hopf monads in the sense of Bruguieres and Virelizier.
Mesablishvili, Bachuki, Wisbauer, Robert
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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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On Galois coverings and tilting modules
Journal of Algebra, 2008 Let A be a basic connected finite dimensional algebra over an algebraically closed field, let G be a group, let T be a basic tilting A-module and let B the endomorphism algebra of T. Under a hypothesis on T, we establish a correspondence between the Galois coverings with group G of A and the Galois coverings with group G of B.
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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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Galois module structure of abelian extensions.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1987 Let \(K\) be a number field with ring of integers \(\mathfrak O_K\). If \(L\) is a finite tamely ramified Galois field extension of \(K\) with Galois group \(G\), then \(\mathfrak O_L\) is a rank one projective \(\mathfrak O_KG\)-module, hence represents a class in the class group \(\text{Cl}(\mathfrak O_KG)\).
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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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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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Galois cohomology of $p$-adic fields and $(φ, τ)$-modules [PDF]
, 2022 Luming Zhao
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