On degrees in family of maps constructed via modular forms

2022/01/31 by Muić, Goran
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2202.00066

Abstract

This paper is a continuation of our previous works (see Muić in Monatsh. Math. 180, no. 3, 607--629, (2016)) and (Muić, Kodrnja in Ramanujan J. 55, no. 2, 393--420, (2021)) where we have studied maps from X₀(N) into \mathbb 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.

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