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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 564=29, 2025.

Original scientific paper

https://doi.org/10.21857/yk3jwh7g89

On degrees in family of maps constructed via modular forms

Goran Muić ; Department of Mathematics, Faculty of Science, University of Zagreb, Bijenička 30, 10000 Zagreb, Croatia

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Abstract

This paper is a continuation of our previous works (see Muić, Monatsh. Math. 180 (2016), 607-629 and Kodrnja, Muić, Ramanujan J. 55 (2021), 393-420) where we have studied maps from X0(N) into P2 (and more general) constructed via modular forms of the same weight. In this short note we study how degrees of the maps and degrees of the resulting curve change when we let modular forms vary.

Keywords

Modular forms; modular curves; Riemann surfaces; birational equivalence

Hrčak ID:

326516

URI

https://hrcak.srce.hr/326516

Publication date:

9.1.2025.

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