Implementations of forgetful maps on modular curves.

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Bibliographic Details
Title: Implementations of forgetful maps on modular curves.
Authors: JEON, Daeyeol1
Source: Proceedings of the Japan Academy, Series A: Mathematical Sciences. Dec2025, Vol. 101 Issue 10, p51-56. 6p.
Subjects: Modular forms, Mathematical mappings, Automorphic forms, Mathematics, Mathematicians
Abstract: In this paper, we aim to implement the forgetful maps from X1(N) to X0(N) and from to Xð1Þ using the Hauptmoduls of X1ðNÞ, X0ðNÞ, and Xð1Þ. This approach is similar to the work of Kim and Koo [KK4], who constructed the Hauptmoduls for X1ðNÞ through various methods and utilized the known eta quotients as the Hauptmoduls for X0ðNÞ. However we use other Hauptmoduls for X1ðNÞ and X0ðNÞ which can be constructed by using the generators of the function field of X1ðNÞ introduced by Baaziz [B]. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:In this paper, we aim to implement the forgetful maps from X1(N) to X0(N) and from to Xð1Þ using the Hauptmoduls of X1ðNÞ, X0ðNÞ, and Xð1Þ. This approach is similar to the work of Kim and Koo [KK4], who constructed the Hauptmoduls for X1ðNÞ through various methods and utilized the known eta quotients as the Hauptmoduls for X0ðNÞ. However we use other Hauptmoduls for X1ðNÞ and X0ðNÞ which can be constructed by using the generators of the function field of X1ðNÞ introduced by Baaziz [B]. [ABSTRACT FROM AUTHOR]
ISSN:03862194
DOI:10.3792/pjaa.101.010