Results 41 to 50 of about 15,508 (120)

Galois theory and commutators

, 2011
We prove that the relative commutator with respect to a subvariety of a variety of Omega-groups introduced by the first author can be described in terms of categorical Galois theory. This extends the known correspondence between the Froehlich-Lue and the
A. Fröhlich, A. Ursini, A.S.-T. Lue, D. Bourn, D. Bourn, D. Rodelo, F. Borceux, G Janelidze, G. Janelidze, G. Janelidze, J. Furtado-Coelho, J. Goedecke, P.J. Higgins, T. Everaert, T. Everaert, T. Everaert, T. Everaert, T. Everaert, T. Everaert, T. Everaert, T. Everaert, Tim Van der Linden, Tomas Everaert   +22 more
core   +1 more source

Cyclotomic Classes in a Product of Finite Abelian Groups and Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Cyclotomic classes of finite abelian groups have been extensively investigated for many decades, largely because of their nice algebraic structure and the breadth of their theoretical and practical applications. They naturally arise in diverse areas of mathematics, ranging from number theory and polynomial factorization to the decomposition of group ...
Somphong Jitman, Faranak Farshadifar
wiley   +1 more source

Iitaka fibrations and integral points: A family of arbitrarily polarized spherical threefolds

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract Studying Manin's program for a family of spherical log Fano threefolds, we determine the asymptotic number of integral points whose height associated with an arbitrary ample line bundle is bounded. This confirms a recent conjecture by Santens and sheds new light on the logarithmic analog of Iitaka fibrations, which have not yet been adequately 
Ulrich Derenthal, Florian Wilsch
wiley   +1 more source

Minimal projective varieties satisfying Miyaoka's equality

Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.
Abstract In this paper, we establish a structure theorem for a minimal projective klt variety X$X$ satisfying Miyaoka's equality 3c2(X)=c1(X)2$3c_2(X) = c_1(X)^2$. Specifically, we prove that the canonical divisor KX$K_X$ is semi‐ample and that the Kodaira dimension κ(KX)$\kappa (K_X)$ is equal to 0, 1, or 2. Furthermore, based on this abundance result,
Masataka Iwai, Shin‐ichi Matsumura, Niklas Müller   +2 more
wiley   +1 more source

Periodic points of rational functions over finite fields

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract For q$q$ a prime power and ϕ$\phi$ a rational function with coefficients in Fq$\mathbb {F}_q$, let p(q,ϕ)$p(q,\phi)$ be the proportion of P1Fq$\mathbb {P}^1\left(\mathbb {F}_q\right)$ that is periodic with respect to ϕ$\phi$. Furthermore, if d$d$ is a positive integer, let Qd$Q_d$ be the set of prime powers coprime to d!$d!$ and let P(d,q ...
Derek Garton
wiley   +1 more source

Galois stratification and ACFA [PDF]

, 2015
Tomasic, I
core   +1 more source

A Novel Cipher-Based Data Encryption with Galois Field Theory. [PDF]

Sensors (Basel), 2023
Hazzazi MM, Attuluri S, Bassfar Z, Joshi K.   +3 more
europepmc   +1 more source

Encryption technique based on chaotic neural network space shift and color-theory-induced distortion. [PDF]

Sci Rep, 2022
Al-Muhammed MJ, Abu Zitar R.
europepmc   +1 more source

Definite orthogonal modular forms: computations, excursions, and discoveries. [PDF]

Res Number Theory, 2022
Assaf E, Fretwell D, Ingalls C, Logan A, Secord S, Voight J.   +5 more
europepmc   +1 more source

Three-torsion subgroups and wild conductor exponents of plane quartics. [PDF]

Res Number Theory
Lupoian E, Rawson J.
europepmc   +1 more source