Results 111 to 120 of about 314 (189)
Ideals and their complements in commutative semirings. [PDF]
Chajda I, Länger H.
europepmc +1 more source
Transcendence of Hecke–Mahler series
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
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
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]
Head LC+10 more
europepmc +1 more source
Classification of Rota-Baxter operators on semigroup algebras of order two and three. [PDF]
Zheng S, Guo L, Rosenkranz M.
europepmc +1 more source
Removing scalar curvature assumption for Ricci flow smoothing
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
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)${\operatorname{Ch}}(\mathcal {
Ian J. Leary, Jason Semeraro
wiley +1 more source
On the injective dimension of unit Cartier and unit Frobenius modules
Abstract Let R$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
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