Results 31 to 40 of about 775 (194)
A Jacobson Radical Decomposition of the Fano-Snowflake Configuration
Symmetry, Integrability and Geometry: Methods and Applications, 2008 The Fano-Snowflake, a specific configuration associated with the smallest ring of ternions $R_{diamondsuit}$ (arXiv:0803.4436 and arXiv:0806.3153), admits an interesting partitioning with respect to the Jacobson radical of $R_{diamondsuit}$. The totality
Metod Saniga, Petr Pracna
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Nontriviality of rings of integral‐valued polynomials
Mathematische Nachrichten, Volume 298, Issue 12, Page 3974-3994, December 2025.Abstract Let S$S$ be a subset of Z¯$\overline{\mathbb {Z}}$, the ring of all algebraic integers. A polynomial f∈Q[X]$f \in \mathbb {Q}[X]$ is said to be integral‐valued on S$S$ if f(s)∈Z¯$f(s) \in \overline{\mathbb {Z}}$ for all s∈S$s \in S$. The set IntQ(S,Z¯)${\mathrm{Int}}_{\mathbb{Q}}(S,\bar{\mathbb{Z}})$ of all integral‐valued polynomials on S$S ...
Giulio Peruginelli, Nicholas J. Werner
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A note on the cohomology of moduli spaces of local shtukas
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3709-3729, December 2025.Abstract We study localized versions of spectral action of Fargues–Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohomology of moduli spaces of local shtukas under certain genericity assumptions, and discuss its relation with the Kottwitz conjecture.
David Hansen, Christian Johansson
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The Chromatic Fourier Transform
Forum of Mathematics, PiWe develop a general theory of higher semiadditive Fourier transforms that includes both the classical discrete Fourier transform for finite abelian groups at height $n=0$ , as well as a certain duality for the $E_n$ -(co)homology of $\pi
Tobias Barthel +3 more
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Carlitz Modules and Galois Module Structure II
Journal of Number Theory, 1998 [For part I, see J. Number Theory 62, No. 1, 213-219 (1997; Zbl 0867.11079).] Starting with a result of \textit{M. J. Taylor} [J. Reine Angew. Math. 358, 97-103 (1985; Zbl 0582.12008)], several explicit results on the Galois module structure of the ring of integers with respect to a relative extension of abelian number fields were obtained [see e.g ...
openaire +1 more source
The m$m$‐step solvable anabelian geometry of mixed‐characteristic local fields
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract Let K$K$ be a mixed‐characteristic local field. For an integer m⩾0$m \geqslant 0$, we denote by Km/K$K^m / K$ the maximal m$m$‐step solvable extension of K$K$, and by GKm$G_K^m$ the maximal m$m$‐step solvable quotient of the absolute Galois group GK$G_K$ of K$K$.
Seung‐Hyeon Hyeon
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Design and Implementation of ROS2 Security Module for Performance and Security Harmonization
IEEE AccessThe security of Robot Operating System 2 (ROS 2) is crucial for ensuring the safety of individual robotic systems and the reliability of the environments in which they operate. Although Secure ROS 2 (SROS2) enhances security via Data Distribution Service
Jeong Hyeon Park, Hong Seong Park
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Integrality of Stickelberger elements and annihilation of natural Galois modules [PDF]
, 2022 Nils Ellerbrock, Andreas Nickel
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Explicit height estimates for CM curves of genus 2
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract In this paper, we make explicit the constants of Habegger and Pazuki's work from 2017 on bounding the discriminant of cyclic Galois CM fields corresponding to genus 2 curves with CM and potentially good reduction outside a predefined set of primes. We also simplify some of the arguments.
Linda Frey +2 more
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Topological K‐theory of quasi‐BPS categories for Higgs bundles
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract In a previous paper, we introduced quasi‐BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the quasi‐BPS categories (called BPS in this case) are noncommutative analogues of Hitchin integrable systems.
Tudor Pădurariu, Yukinobu Toda
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