Results 51 to 60 of about 2,863 (231)

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
wiley   +1 more source

A single source theorem for primitive points on curves

Forum of Mathematics, Sigma
Let C be a curve defined over a number field K and write g for the genus of C and J for the Jacobian of C. Let $n \ge 2$ . We say that an algebraic point $P \in C(\overline {K})$ has degree n if the extension $K(P)/K$ has degree n. By
Maleeha Khawaja, Samir Siksek
doaj   +1 more source

On the Galois structure of units in totally real $p$-rational number fields [PDF]

, 2023
Zakariae Bouazzaoui, Donghyeok Lim
openalex   +1 more source

On the section conjecture over fields of finite type

Mathematische Nachrichten, Volume 298, Issue 11, Page 3476-3493, November 2025.
Abstract Assume that the section conjecture holds over number fields. We prove then that it holds for a broad class of curves defined over finitely generated extensions of Q$\mathbb {Q}$. This class contains every projective, hyperelliptic curve, every hyperbolic, affine curve of genus ≤2$\le 2$, and a basis of open subsets of any curve.
Giulio Bresciani
wiley   +1 more source

Normal covering numbers for Sn$S_n$ and An$A_n$ and additive combinatorics

Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3307-3325, November 2025.
Abstract The normal covering number γ(G)$\gamma (G)$ of a noncyclic group G$G$ is the minimum number of proper subgroups whose conjugates cover the group. We give various estimates for γ(Sn)$\gamma (S_n)$ and γ(An)$\gamma (A_n)$ depending on the arithmetic structure of n$n$. In particular we determine the limsups over γ(Sn)/n$\gamma (S_n) / n$ and γ(An)
Sean Eberhard, Connor Mellon
wiley   +1 more source

G. GAMOW AND CALCULABILITY PROBLEMS OF THE WORLD CONSTANTS AND THE LIFE CODE

Odessa Astronomical Publications, 2017
Developing the George Gamow ideas, the fine structure and the life code calculation possibility, resulting from fundamental principles of quantum logic, the Galois field GF(257) and combinatorial configurations on the tetrahedron, is shown.
V. Cernobai
doaj   +1 more source

Low Complexity Bit Reliability and Predication Based Symbol Value Selection Decoding Algorithms for Non-Binary LDPC Codes

IEEE Access, 2020
The main challenge for hardware implementation of non-binary LDPC decoding is the high computational complexity and large memory requirement. To address this challenge, five new low complexity LDPC decoding algorithms are proposed in this paper.
Waheed Ullah, Ling Cheng, Fambirai Takawira   +2 more
doaj   +1 more source

Arithmetic sparsity in mixed Hodge settings

Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3511-3521, November 2025.
Abstract Let X$X$ be a smooth irreducible quasi‐projective algebraic variety over a number field K$K$. Suppose X$X$ is equipped with a p$p$‐adic étale local system compatible with an admissible graded‐polarized variation of mixed Hodge structures on the complex analytification of XC$X_{\operatorname{\mathbb {C}}}$.
Kenneth Chung Tak Chiu
wiley   +1 more source

On Projective 3-Space Over Galois Field

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017
        The purpose of this paper is to give the definition of projective 3-space PG(3,q) over Galois field GF(q), q = pm for some prime number p and some integer m.
A. SH. Al-Mukhtar
doaj  

Analysis of Blind Reconstruction of BCH Codes

Entropy, 2020
In this paper, the theoretical lower-bound on the success probability of blind reconstruction of Bose–Chaudhuri–Hocquenghem (BCH) codes is derived. In particular, the blind reconstruction method of BCH codes based on the consecutive roots of generator ...
Soonhee Kwon, Dong-Joon Shin
doaj   +1 more source