Results 111 to 120 of about 140,041 (215)

On quantum ergodicity for higher‐dimensional cat maps modulo prime powers

Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract A discrete model of quantum ergodicity of linear maps generated by symplectic matrices A∈Sp(2d,Z)$A \in \operatorname{Sp}(2d,{\mathbb {Z}})$ modulo an integer N⩾1$N\geqslant 1$, has been studied for d=1$d=1$ and almost all N$N$ by Kurlberg and Rudnick (2001, Comm. Math. Phys., 222, 201–227).
Subham Bhakta, Igor E. Shparlinski
wiley   +1 more source

Postulation of schemes of length at most 4 on surfaces

Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract In this paper, we address the postulation problem of zero‐dimensional schemes of length at most 4 on a surface. We prove some general results and then we focus on the case of P2$\mathbb {P}^2$, P1×P1$\mathbb {P}^1\times \mathbb {P}^1$ and Hirzebruch surfaces. In particular, we prove that except for few well‐known exceptions, a general union of
Edoardo Ballico, Stefano Canino
wiley   +1 more source

On Pták functions for bounded operators

Le Matematiche, 2014
The purpose of this paper is to prove that if the Pták function p is an operator norm, on \mathcal{B}(E), associated to a norm | . |, then (E, | . |) is a pseudo-Hilbert space.
Abdellah El Kinani
doaj  

Hilbert's Fourteenth Problem and algebraic extensions

Journal of Algebra, 2007
Let \(k\) be a field of characteristic \(0,\) \(k[X]=k[X_{1},....,X_{n}]\) the polynomial ring in \(n\) variables over \(k\) and \(k(X)\) the field of fractions of \(k[X].\) In this paper, in response to Hilbert's fourteenth problem, for \(n=3\) and each \(d\geq 3\) constructive examples have been given to show that there exists a subfield \(L\) of \(k(
openaire   +1 more source

Hyperderivatives of the deformation series associated with arithmetic gamma values and characteristic p$p$ multiple zeta values

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Number theory for positive characteristic contains analogues of the special values that were introduced by Carlitz; these include the Carlitz gamma values and Carlitz zeta values. These values were further developed to the arithmetic gamma values and multiple zeta values by Goss and Thakur, respectively.
Ryotaro Harada, Daichi Matsuzuki
wiley   +1 more source

MULTIPLIERS IN HILBERT ALGEBRAS

Journal of the Chungcheong Mathematical Society, 2012
In this paper, we introduce the concept of multiplier in a Hilbert algebra and obtained some properties of multipliers. Also, we introduce the simple multiplier and characterized the kernel of multipliers in Hilbert algebras.
openaire   +1 more source

The motive of the Hilbert scheme of points in all dimensions

Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.
Abstract We prove a closed formula for the generating series Zd(t)$\mathsf {Z}_d(t)$ of the motives [Hilbd(An)0]$[\operatorname{Hilb}^d({\mathbb {A}}^n)_0]$ in K0(VarC)$K_0(\operatorname{Var}_{{\mathbb {C}}})$ of punctual Hilbert schemes, summing over n$n$, for fixed d>0$d>0$.
Michele Graffeo, Sergej Monavari, Riccardo Moschetti, Andrea T. Ricolfi   +3 more
wiley   +1 more source

Entropy rigidity for cusped Hitchin representations

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary, Tengren Zhang, Andrew Zimmer   +2 more
wiley   +1 more source

Holographic observers for time-band algebras

Journal of High Energy Physics
We study the algebra of observables in a time band on the boundary of anti-de Sitter space in a theory of quantum gravity. Strictly speaking this algebra does not have a commutant because products of operators within the time band give rise to operators ...
Kristan Jensen, Suvrat Raju, Antony J. Speranza   +2 more
doaj   +1 more source

Hilbert's Theorem 90 and algebraic spaces

Journal of Pure and Applied Algebra, 2002
In modern form, Hilbert's Theorem 90 tells us that R^1f_*(G_m)=0, where f is the canonical map between the etale site and the Zariski site of a scheme X. I construct examples showing that the corresponding statement for algebraic spaces does not hold. The first example is a nonseparated smooth 1-dimensional bug-eyed cover in Kollar's sense.
openaire   +2 more sources