Work

Normal surface singularities of small degrees

Year: 2025

Type: article

Abstract: The notion of the Yau sequence was introduced by Tomaru, as an attempt to extend Yau's elliptic sequence for (weakly) elliptic singularities to normal surface singularities of higher fundamental genera. In this paper, we obtain the canonical cycle using the Yau cycle for certain surface singularities of degree two. Furthermore, we obtain a formula of arithmetic genera. We also give some properties about the classification of weighted dual graphs of certain surface singularities of degree two.

Source: Journal of the Mathematical Society of Japan

DOI: 10.2969/jmsj/93379337

Authors: Stephen S.-T. YAU, Hao ZUO, Huaiqing ZUO

Institutions: Beijing Institute of Mathematical Sciences and Applications, Tsinghua University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Tsinghua University

Awards: G1607238853, G1792738576, G1946194452