论与混合多项式相关的 3 球中的实代数联系

IF 1.2 3区数学 Q1 MATHEMATICS

Research in the Mathematical Sciences Pub Date : 2024-03-08 DOI:10.1007/s40687-024-00424-3

Raimundo N. Araújo dos Santos, Eder L. Sanchez Quiceno

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引用次数: 0

摘要

在本文中，我们构建了新的混合奇异点类别，这些奇异点为 3 球中的实代数联系提供了现实化。特别是，我们描述了在半全形多项式情况下的这种构造，半全形多项式是在一个变量中全形的混合多项式。实代数链接的分类和特征描述仍未完成。这些新的混合奇点类可能有助于揭示贝内德蒂-希奥塔猜想，即 3 球上的任何纤维链都是实代数链。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

On real algebraic links in the 3-sphere associated with mixed polynomials

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On real algebraic links in the 3-sphere associated with mixed polynomials

In this paper we construct new classes of mixed singularities that provide realizations of real algebraic links in the 3-sphere. Especially, we describe this construction in the case of semiholomorphic polynomials, which are mixed polynomials that are holomorphic in one variable. Classifications and characterizations of real algebraic links are still open. These new classes of mixed singularities may help to shed light on the Benedetti–Shiota conjecture, which states that any fibered link on the 3-sphere is a real algebraic link.

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来源期刊

Research in the Mathematical Sciences Mathematics-Computational Mathematics

CiteScore

2.00

自引率

8.30%

发文量

期刊介绍： Research in the Mathematical Sciences is an international, peer-reviewed hybrid journal covering the full scope of Theoretical Mathematics, Applied Mathematics, and Theoretical Computer Science. The Mission of the Journal is to publish high-quality original articles that make a significant contribution to the research areas of both theoretical and applied mathematics and theoretical computer science. This journal is an efficient enterprise where the editors play a central role in soliciting the best research papers, and where editorial decisions are reached in a timely fashion. Research in the Mathematical Sciences does not have a length restriction and encourages the submission of longer articles in which more complex and detailed analysis and proofing of theorems is required. It also publishes shorter research communications (Letters) covering nascent research in some of the hottest areas of mathematical research. This journal will publish the highest quality papers in all of the traditional areas of applied and theoretical areas of mathematics and computer science, and it will actively seek to publish seminal papers in the most emerging and interdisciplinary areas in all of the mathematical sciences. Research in the Mathematical Sciences wishes to lead the way by promoting the highest quality research of this type.