曲面的波恩卡列数列和曲线的德尔塔不变量的对偶性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-06-26 DOI:10.1007/s40687-024-00457-8

José Ignacio Cogolludo-Agustín, Tamás László, Jorge Martín-Morales, András Némethi

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引用次数: 0

摘要

在这篇文章中，我们通过拓扑技术研究了还原曲线胚芽的 delta 不变量。我们描述了嵌入有理奇点的曲线的三角不变量与周围曲面的拓扑波恩卡列数列之间的明确联系。这种联系是通过使用另一个公式将 delta 不变量表示为与抽象曲线相关的波卡列数列的 "周期常数"，以及为环境空间的波卡列数列开发的 "扭曲 "对偶性建立起来的。

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Duality for Poincaré series of surfaces and delta invariant of curves

In this article we study the delta invariant of reduced curve germs via topological techniques. We describe an explicit connection between the delta invariant of a curve embedded in a rational singularity and the topological Poincaré series of the ambient surface. This connection is established by using another formula expressing the delta invariant as ‘periodic constants’ of the Poincaré series associated with the abstract curve and a ‘twisted’ duality developed for the Poincaré series of the ambient space.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.