Rad HAZU, Matematičke znanosti, Vol. 29 (2025), 89-96.

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
e-mail: gmuic@math.hr

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.

2020 Mathematics Subject Classification.   11F11.

Key words and phrases.   Modular forms, modular curves, Riemann surfaces, birational equivalence.

Full text (PDF) (free access)

DOI: https://doi.org/10.21857/yk3jwh7g89

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