Work

Notes on Weierstrass Points of Modular Curves $X_0(N)$

Year: 2016

Type: article

Abstract: We give conditions for when the fixed points by the partial Atkin-Lehner involutions on $X_0(N)$ are Weierstrass points as an extension of the result by Lehner and Newman [18]. Furthermore, we complete their result by determining whether the fixed points by the full Atkin-Lehner involutions on $X_0(N)$ are Weierstrass points or not.

Source: Taiwanese Journal of Mathematics

DOI: 10.11650/tjm.20.2016.6547

Authors: Bo-Hae Im, Daeyeol Jeon, Chang Heon Kim

Institutions: Kongju National University, Sungkyunkwan University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Brown University, National Research Foundation, National Research Foundation of Korea, Ministry of Education, Science and Technology

OpenAlex ID: W2963036615

FWCI: 0.958

Cites: 24

Cited by: 3

Related to: 10