Coen Del Valle
Coen Del Valle
A base for a permutation group G acting on a set Ω is a sequence B of points of Ω such that the pointwise stabiliser G B is trivial. The base size of G is the size of a smallest base for G. Extending the results of a recent paper...
Coen Del Valle
Coen Del Valle
A base for a permutation group G acting on a set Ω is a sequence B of points of Ω such that the pointwise stabiliser G B is trivial. The base size of G is the size of a smallest base for G. We derive a character theoretic formula...
Poincaré inequality for one-forms on four manifolds with bounded Ricci curvature [0.03%]
有界Ricci曲率四维流形上一形式的Poincaré不等式
Shouhei Honda,Andrea Mondino
Shouhei Honda
In this short note, we provide a quantitative global Poincaré inequality for one-forms on a closed Riemannian four manifold, in terms of an upper bound on the diameter, a positive lower bound on the volume, and a two-sided bound on the Ric...
Scott Harper,Martin W Liebeck
Scott Harper
Feit and Tits (1978) proved that a nontrivial projective representation of minimal dimension of a finite extension of a finite nonabelian simple group G factors through a projective representation of G, except for some groups of Lie type in...
Giulio Caviglia,Alessandro De Stefani
Giulio Caviglia
The purpose of this note is to show that a finitely generated graded module M over S = k [ x 1 , … , x n ] , k a field, is sequentially Cohen-Macaulay if and only if its arithmetic degree adeg ( M ) agrees with adeg ( F / gin revlex...
Lengths of factorizations of integer-valued polynomials on Krull domains with prime elements [0.03%]
Krull域上素元的整值多项式的因子分解长度
Victor Fadinger-Held,Daniel Windisch
Victor Fadinger-Held
Let D be a Krull domain admitting a prime element with finite residue field and let K be its quotient field. We show that for all positive integers k and 1
Armin Rainer
Armin Rainer
We show that a function f:X→R defined on a closed uniformly polynomially cuspidal set X in Rn is real analytic if and only if f is smooth and all its composites with germs of polynomial curves in X are real analytic. The degree of the...
Cengiz Aydin
Cengiz Aydin
A symmetry of a Hamiltonian system is a symplectic or anti-symplectic involution which leaves the Hamiltonian invariant. For the planar and spatial Hill lunar problem, four resp. eight linear symmetries are well-known. Algebraically, the pl...
Clemens Fuchs,Sebastian Heintze
Clemens Fuchs
In this paper, we provide a complete proof for a bound on the growth of multi-recurrences which are defined over a number field. The proven bound was already stated by van der Poorten and Schlickewei 40 years ago. ...
On sufficient density conditions for lattice orbits of relative discrete series [0.03%]
关于相对离散系列的格轨道的充分稠密条件
Ulrik Enstad,Jordy Timo van Velthoven
Ulrik Enstad
This note provides new criteria on a unimodular group G and a discrete series representation ( π , H π ) of formal degree d π > 0 under which any lattice Γ ≤ G with vol ( G / Γ ) d π ≤ 1 (re...