Results 111 to 120 of about 314 (189)

Transcendence of Hecke–Mahler series

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1360-1368, May 2025.
Abstract We prove transcendence of the Hecke–Mahler series ∑n=0∞f(⌊nθ+α⌋)β−n$\sum _{n=0}^\infty f(\lfloor n\theta +\alpha \rfloor) \beta ^{-n}$, where f(x)∈Z[x]$f(x) \in \mathbb {Z}[x]$ is a non‐constant polynomial, α$\alpha$ is a real number, θ$\theta$ is an irrational real number and β$\beta$ is an algebraic number such that |β|>1$|\beta |>1$.
Florian Luca   +2 more
wiley   +1 more source

The Hilton–Milnor theorem in higher topoi

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1468-1481, May 2025.
Abstract In this note, we show that the classical theorem of Hilton–Milnor on finite wedges of suspension spaces remains valid in an arbitrary ∞$\infty$‐topos. Our result relies on a version of James' splitting proved in [Devalapurkar and Haine, Doc. Math.
Samuel Lavenir
wiley   +1 more source

The birational geometry of GIT quotients

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract Geometric invariant theory (GIT) produces quotients of algebraic varieties by reductive groups. If the variety is projective, this quotient depends on a choice of polarisation; by work of Dolgachev–Hu and Thaddeus, it is known that two quotients of the same variety using different polarisations are related by birational transformations.
Ruadhaí Dervan, Rémi Reboulet
wiley   +1 more source

Majorana quasiparticles and topological phases in 3D active nematics. [PDF]

open access: yesProc Natl Acad Sci U S A
Head LC   +10 more
europepmc   +1 more source

Removing scalar curvature assumption for Ricci flow smoothing

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract In recent work of Chan–Huang–Lee, it is shown that if a manifold enjoys uniform bounds on (a) the negative part of the scalar curvature, (b) the local entropy, and (c) volume ratios up to a fixed scale, then there exists a Ricci flow for some definite time with estimates on the solution assuming that the local curvature concentration is small ...
Adam Martens
wiley   +1 more source

Spectra of subrings of cohomology generated by characteristic classes for fusion systems

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract If F$\mathcal {F}$ is a saturated fusion system on a finite p$p$‐group S$S$, we define the Chern subring Ch(F)${\operatorname{Ch}}(\mathcal {F})$ of F$\mathcal {F}$ to be the subring of H∗(S;Fp)$H^*(S;{\mathbb {F}}_p)$ generated by Chern classes of F$\mathcal {F}$‐stable representations of S$S$. We show that Ch(F)${\operatorname{Ch}}(\mathcal {
Ian J. Leary, Jason Semeraro
wiley   +1 more source

On the injective dimension of unit Cartier and unit Frobenius modules

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract Let R$R$ be a regular F$F$‐finite ring of prime characteristic p$p$. We prove that the injective dimension of every unit Frobenius module M$M$ in the category of unit Frobenius modules is at most dim(SuppR(M))+1$\dim (\operatorname{Supp}_R(M))+1$.
Manuel Blickle   +3 more
wiley   +1 more source

Coloured shuffle compatibility, Hadamard products, and ask zeta functions

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract We devise an explicit method for computing combinatorial formulae for Hadamard products of certain rational generating functions. The latter arise naturally when studying so‐called ask zeta functions of direct sums of modules of matrices or class‐ and orbit‐counting zeta functions of direct products of nilpotent groups.
Angela Carnevale   +2 more
wiley   +1 more source

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