Proceedings of the American Mathematical Society最新文献

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IF 1 3区数学 Q2 Mathematics

Proceedings of the American Mathematical Society

Pub Date : 2024-03-29 DOI: 10.1090/proc/16856

Khadime Salame

引用次数: 0

𝑝-adic limit of the Eisenstein series on the exceptional group of type 𝐸_{7,3} 𝐸_{7,3}型例外群上爱森斯坦数列的𝑝-adic极限

IF 1 3区数学 Q2 MATHEMATICS

Proceedings of the American Mathematical Society

Pub Date : 2024-03-29 DOI: 10.1090/proc/16866

Hidenori Katsurada, Henry Kim

In this paper, we show that the p p -adic limit of a family of Eisenstein series on the exceptional domain where the exceptional group of type E 7 , 3 E_{7,3} acts is an ordinary modular form for a congruence subgroup.

在本文中，我们证明了在类型为 E 7 , 3 E_{7,3} 的卓越群作用的卓越域上，爱森斯坦级数族的 p p -adic 极限是一个全等子群的普通模态。

引用次数: 0

A note on the long neck principle and spectral width inequality of geodesic collar neighborhoods 关于大地领邻域的长颈原理和谱宽不等式的说明

IF 1 3区数学 Q2 Mathematics

Proceedings of the American Mathematical Society

Pub Date : 2024-03-29 DOI: 10.1090/proc/16869

Daoqiang Liu

The main purpose of this short note is to derive some generalizations of the long neck principle and give a spectral width inequality of geodesic collar neighborhoods. Our results are obtained via the spinorial Callias operator approach. An important step is to introduce the relative Gromov-Lawson pair on a compact manifold with boundary, relative to a background manifold.

这篇短文的主要目的是推导长颈原理的一些概括，并给出大地领邻域的谱宽不等式。我们的结果是通过自旋卡利亚斯算子方法得到的。其中重要的一步是在有边界的紧凑流形上引入相对于背景流形的相对格罗莫夫-劳森对。

引用次数: 0

Wandering domains with nearly bounded orbits 具有近似有界轨道的游荡域

IF 1 3区数学 Q2 MATHEMATICS

Proceedings of the American Mathematical Society

Pub Date : 2024-03-29 DOI: 10.1090/proc/16846

Leticia Pardo-Simón, David Sixsmith

In this paper we construct a bounded wandering domain with the property that, in a sense we make precise, nearly all of its forward iterates are contained within a bounded domain.

在本文中，我们构建了一个有界徘徊域，其特性是，在我们精确定义的意义上，几乎所有的前向迭代都包含在一个有界域内。

引用次数: 0

An area theorem for harmonic mappings with nonzero pole having quasiconformal extensions 具有准共形扩展的非零极谐波映射的面积定理

IF 1 3区数学 Q2 MATHEMATICS

Proceedings of the American Mathematical Society

Pub Date : 2024-03-29 DOI: 10.1090/proc/16850

Bappaditya Bhowmik, Goutam Satpati

Let Σ H k ( p ) Sigma _H^k(p) be the class of sense-preserving univalent harmonic mappings defined on the open unit disk D mathbb {D} of the complex plane with a simple pole at z = p ∈ ( 0 , 1 ) z=p in (0,1) that have k k -quasiconformal extensions ( 0 ≤ k > 1 0leq k>1 ) onto the extended complex plane. In this article, we obtain an area theorem for this class of functions.

设 Σ H k ( p ) Sigma _H^k(p)是一类定义在复平面的开放单位盘 D mathbb {D} 上、在 z = p∈ ( 0 , 1 ) z=p (0,1)处有一个简单极点、在扩展复平面上有 k k -等方扩展（0 ≤ k > 1 0leq k>1 ）的保感单等调和映射。在本文中，我们得到了这一类函数的面积定理。

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引用次数: 0

Actions of finitely generated groups on compact metric spaces 紧凑度量空间上有限生成群的作用

IF 1 3区数学 Q2 MATHEMATICS

Proceedings of the American Mathematical Society

Pub Date : 2024-03-29 DOI: 10.1090/proc/16865

Ursula Hamenstädt

Let Γ Gamma be a finitely generated group which admits an action by homeomorphisms on a metrizable space X X . We show that there is a metric on X X defining the original topology such that for this metric, the action is by bi-Lipschitz transformations.

让 Γ Gamma 是一个有限生成的群，它在可元空间 X X 上允许同构作用。我们将证明在 X X 上存在一个定义了原始拓扑的度量，对于这个度量，作用是通过双利普西茨变换实现的。

引用次数: 0

On the 𝑝-rank of curves 论曲线的𝑝-rank

IF 1 3区数学 Q2 MATHEMATICS

Proceedings of the American Mathematical Society

Pub Date : 2024-03-29 DOI: 10.1090/proc/16841

Sadik Terzİ

In this paper, we are concerned with the computations of the p p -rank of curves in two different setups. We first work with complete intersection varieties in P n for n ≥ 2 mathbf {P}^n text { for } nge 2 and compute explicitly the action of Frobenius on the top cohomology group. In case of curves and surfaces, this information suffices to determine if the variety is ordinary. Next, we consider curves on more general surfaces with p g ( S ) = 0 = q ( S ) p_g(S) = 0 = q(S) such as Hirzebruch surfaces and determine p p -rank of curves on Hirzebruch surfaces.

在本文中，我们关注两种不同情况下曲线 p p -rank 的计算。我们首先处理 n ≥ 2 mathbf {P}^n text { for } nge 2 的 P n 中的完全交集品种，并明确计算 Frobenius 对顶同调群的作用。在曲线和曲面的情况下，这些信息足以确定该变化是否普通。接下来，我们考虑更一般的曲面上的曲线，即 p g ( S ) = 0 = q ( S ) p_g(S) = 0 = q(S)，如希尔泽布鲁赫曲面，并确定希尔泽布鲁赫曲面上曲线的 p p -rank。

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引用次数: 0

A Schur-Weyl type duality for twisted weak modules over a vertex algebra 顶点代数上扭曲弱模块的舒尔-韦尔型对偶性

IF 1 3区数学 Q2 MATHEMATICS

Proceedings of the American Mathematical Society

Pub Date : 2024-03-29 DOI: 10.1090/proc/16843

Kenichiro Tanabe

Let V V be a vertex algebra of countable dimension, G G a subgroup of A u t V AutV of finite order, V G V^{G} the fixed point subalgebra of V V under the action of G G , and S mathscr {S} a finite G G -stable set of inequivalent irreducible twisted weak V V -modules associated with possibly different automorphisms in

让 V V 是一个可数维度的顶点代数，G G 是 A u t V AutV 的一个有限阶的子群，V G V^{G} 是 V V 在 G G 作用下的定点子代数，而 S mathscr {S} 是一个有限的 G G 稳定集合，由与 G G 中可能不同的自变量相关联的不等价的不可还原的扭曲弱 V V 模块组成。我们展示了 A α ( G , S ) mathscr {A}_{alpha }(G,mathscr {S}) 和 V G V^G 对 S mathscr {S} 中扭曲弱 V V 模量的直接和的作用的舒尔-韦尔型对偶性，其中 A α ( G 、 S ) 是与 G , S G , mathscr {S} 相关联的有限维半简单关联代数，以及由 G G 在 S mathscr {S} 上的作用自然决定的 2 2 -环 α alpha 。结果的一个自然结果是，对于任意 g ∈ G gin G，每一个不可还原的 g g -扭曲弱 V V -模块都是一个完全可还原的弱 V G V^G -模块。

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引用次数: 0

On explicit abstract neutral differential equations with state-dependent delay II 带状态延迟的显式抽象中性微分方程 II

IF 1 3区数学 Q2 MATHEMATICS

Proceedings of the American Mathematical Society

Pub Date : 2024-03-29 DOI: 10.1090/proc/16861

Eduardo Hernández

We study the existence and uniqueness of strict solution for a general class of abstract explicit neutral equations with state-dependent delay. Some examples concerning explicit partial neutral differential equations with state dependent delay are presented.

我们研究了一类具有状态相关延迟的抽象显式中性方程的严格解的存在性和唯一性。我们还列举了一些与状态相关延迟的显式偏中性微分方程有关的例子。

引用次数: 0

Expansive partially hyperbolic diffeomorphisms with one-dimensional center 具有一维中心的膨胀部分双曲衍射

IF 1 3区数学 Q2 MATHEMATICS

Proceedings of the American Mathematical Society

Pub Date : 2024-03-29 DOI: 10.1090/proc/16845

Martin Sambarino, José Vieitez

We give sufficient conditions for an expansive partially hyperbolic diffeomorphism with one-dimensional center to be (topologically) Anosov.

我们给出了具有一维中心的扩张性部分双曲衍射成为（拓扑）阿诺索夫的充分条件。

引用次数: 0

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