Results 41 to 50 of about 509 (172)
Which singular tangent bundles are isomorphic?
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
wiley +1 more source
The entropy of algebraic actions of countable torsion-free abelian groups [PDF]
, 2008 This paper is concerned with the entropy of an action of a countable torsion-free abelian group G by continuous automorphisms of a compact abelian group X.
Miles, Richard, Miles, Richard,
core +1 more source
Counting 5‐isogenies of elliptic curves over Q$\mathbb {Q}$
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract We show that the number of 5‐isogenies of elliptic curves defined over Q$\mathbb {Q}$ with naive height bounded by H>0$H > 0$ is asymptotic to C5·H1/6(logH)2$C_5\cdot H^{1/6} (\log H)^2$ for some explicitly computable constant C5>0$C_5 > 0$. This settles the asymptotic count of rational points on the genus zero modular curves X0(m)$\mathcal {X}
Santiago Arango‐Piñeros +3 more
wiley +1 more source
Quasi-balanced torsion-free groups [PDF]
, 1998 summary:An exact sequence $0\to A\to B\to C\to 0$ of torsion-free abelian groups is quasi-balanced if the induced sequence $$ 0\to \bold Q\otimes\operatorname{Hom}(X,A)\to\bold Q\otimes\operatorname{Hom}(X,B) \to\bold Q\otimes\operatorname{Hom}(X,C)\to 0
Ullery, William, Goeters, H. Pat
core
𝑅-automorphisms of 𝑅[𝐺] for 𝐺 abelian torsion-free
, 1976 Let R R be a commutative ring with identity and G G a torsion-free abelian group. This note describes for a reduced R R the group of R R -automorphisms of the group ring
David C. Lantz
core +1 more source
Electric‐Current‐Assisted Nucleation of Zero‐Field Hopfion Rings
Advanced Materials, Volume 38, Issue 21, 13 April 2026.This work reports a novel and efficient nucleation protocol for 3D localized topological magnetic solitons‐hopfion rings in chiral magnets using pulsed electric currents. By using Lorentz transmission electron microscopy and topological analysis, we report characteristic features and extraordinary stability of hopfion rings in zero or inverted external
Xiaowen Chen +12 more
wiley +1 more source
Almost completely decomposable torsion free abelian groups
, 1974 A finite rank torsion free abelian group G G is almost completely decomposable if there exists a completely decomposable subgroup C C with finite index in G G .
E. L. Lady
core +1 more source
On the dimension of an Abelian group
, 2021 We introduce a measure of dimensionality of an Abelian group. Our definition of dimension is based on studying perpendicularity relations in an Abelian group. For G ≅ ℤn, dimension and rank coincide but in general they are different. For example, we show
Haukkanen, Pentti, +3 more
core +1 more source
Fortschritte der Physik, Volume 74, Issue 4, April 2026.Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source
The classification problem for torsion-free abelian groups of finite rank [PDF]
Journal of the American Mathematical Society, 2002 We prove that for each n ≥ 1
openaire +2 more sources