平衡邻域多项式的存在性

IF 0.3 Q4 MATHEMATICS

Acta Mathematica Vietnamica Pub Date : 2022-11-03 DOI:10.1007/s40306-022-00482-1

Nguyen Thi Thanh Tam

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引用次数: 0

摘要

受平衡邻域定义的启发，我们定义了平衡邻域多项式，并研究了这些多项式的存在性。本文的目标是在所有k≠0的任意域k上构造（k，k，k）型的平衡邻域多项式 2，并证明了（2,2,2,2）型平衡邻域多项式存在当且仅当char（K）≠ 2.此外，我们还讨论了平衡邻域多项式和平衡邻域单纯形之间的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Existence of Balanced Neighborly Polynomials

Inspired by the definition of balanced neighborly spheres, we define balanced neighborly polynomials and study the existence of these polynomials. The goal of this article is to construct balanced neighborly polynomials of type (k,k,k,k) over any field K for all k≠ 2, and show that a balanced neighborly polynomial of type (2,2,2,2) exists if and only if char(K)≠ 2. Besides, we also discuss a relation between balanced neighborly polynomials and balanced neighborly simplicial spheres.

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来源期刊

Acta Mathematica Vietnamica MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.