English

On degrees in family of maps constructed via modular forms

Number Theory 2022-02-02 v1

Abstract

This paper is a continuation of our previous works (see Mui\'c in Monatsh. Math. 180, no. 3, 607--629, (2016)) and (Mui\'c, Kodrnja in Ramanujan J. 55, no. 2, 393--420, (2021)) where we have studied maps from X0(N)X_0(N) into P2\mathbb P^2 (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

Cite

@article{arxiv.2202.00066,
  title  = {On degrees in family of maps constructed via modular forms},
  author = {Goran Muić},
  journal= {arXiv preprint arXiv:2202.00066},
  year   = {2022}
}