Arnold Mathematical Journal最新文献_第2页

On Groups with Few Subgroups not in the Chermak–Delgado Lattice 论不在切尔马克-德尔加多网格中的子群较少的群

Arnold Mathematical Journal Pub Date : 2023-09-20 DOI: 10.1007/s40598-023-00237-2

David Burrell, William Cocke, Ryan McCulloch

引用次数: 0

Normality of Two Families of Meromorphic Functions Concerning Partially Shared Values 关于部分共享值的两个同态函数族的正态性

Arnold Mathematical Journal Pub Date : 2023-09-13 DOI: 10.1007/s40598-023-00236-3

Manish Kumar

引用次数: 0

Approximate Real Symmetric Tensor Rank 近似实对称张量秩

Arnold Mathematical Journal Pub Date : 2023-08-22 DOI: 10.1007/s40598-023-00235-4

Alperen A. Ergür, Jesus Rebollo Bueno, Petros Valettas

引用次数: 0

Cohomology Rings of Toric Bundles and the Ring of Conditions Toric丛的上同调环与条件环

Arnold Mathematical Journal Pub Date : 2023-08-14 DOI: 10.1007/s40598-023-00233-6

Johannes Hofscheier, Askold Khovanskii, Leonid Monin

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引用次数: 0

Steady-State Flows of Ideal Incompressible Fluid with Velocity Pointwise Orthogonal to the Pressure Gradient 速度与压力梯度点正交的理想不可压缩流体的稳态流动

Arnold Mathematical Journal Pub Date : 2023-08-01 DOI: 10.1007/s40598-023-00234-5

Vladimir Yu. Rovenski, Vladimir A. Sharafutdinov

引用次数: 0

On Affine Real Cubic Surfaces 仿射实三次曲面

Arnold Mathematical Journal Pub Date : 2023-07-25 DOI: 10.1007/s40598-023-00231-8

S. Finashin, V. Kharlamov

引用次数: 0

Supertraces on Queerified Algebras Queerified代数上的超迹

Arnold Mathematical Journal Pub Date : 2023-07-06 DOI: 10.1007/s40598-023-00232-7

Dimitry Leites, Irina Shchepochkina

引用次数: 0

On Partial Differential Operators Which Annihilate the Roots of the Universal Equation of Degree k 关于消去k次通用方程根的偏微分算子

Arnold Mathematical Journal Pub Date : 2023-06-21 DOI: 10.1007/s40598-023-00229-2

Daniel Barlet

{"title":"On Partial Differential Operators Which Annihilate the Roots of the Universal Equation of Degree k","authors":"Daniel Barlet","doi":"10.1007/s40598-023-00229-2","DOIUrl":"10.1007/s40598-023-00229-2","url":null,"abstract":"<div>The aim of this paper is to study in details the regular holonomic (D-)module introduced in Barlet (Math Z 302 (n^03): 1627–1655, 2022 arXiv:1911.09347 [math]) whose local solutions outside the polar hyper-surface ({Delta (sigma ).sigma _k = 0 }) are given by the local system generated by the power (lambda ) of the local branches of the multivalued function which is the root of the universal degree k equation (z^k + sum _{h=1}^k (-1)^hsigma _hz^{k-h} = 0 ). We show that for (lambda in mathbb {C} {setminus } mathbb {Z}) this D-module is the minimal extension of the holomorphic vector bundle with an integrable meromorphic connection with a simple pole which is its restriction on the open set ({sigma _kDelta (sigma ) not = 0}). We then study the structure of these D-modules in the cases where (lambda = 0, 1, -1) which are a little more complicated, but which are sufficient to determine the structure of all these D-modules when (lambda ) is in (mathbb {Z}). As an application we show how these results allow to compute, for instance, the Taylor expansion of the root near (-1) of the equation: <div><div>$$begin{aligned} z^k + sum _{h=-1}^k (-1)^hsigma _hz^{k-h} - (-1)^k = 0. end{aligned}$$</div></div>near (z^k - (-1)^k = 0).</div>","PeriodicalId":37546,"journal":{"name":"Arnold Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46511272","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Springer Numbers and Arnold Families Revisited Springer数与Arnold族

Arnold Mathematical Journal Pub Date : 2023-06-01 DOI: 10.1007/s40598-023-00230-9

Sen-Peng Eu, Tung-Shan Fu

引用次数: 0

Enumeration of Multi-rooted Plane Trees 多根平面树的枚举

Arnold Mathematical Journal Pub Date : 2023-05-11 DOI: 10.1007/s40598-023-00227-4

Anwar Al Ghabra, K. Gopala Krishna, Patrick Labelle, Vasilisa Shramchenko

引用次数: 0