Modular forms constructed from moduli of elliptic curves, with applications to explicit models of modular curves
Number Theory
2019-08-08 v2
Abstract
These are the lecture notes from my portion of a mini-course for the summer school "Building Bridges 3" that was held in Sarajevo during July 2016. My lectures covered the Katz definition of modular forms, a family of forms defined from this perspective and their relation to Eisenstein series, and methods of finding explicit models of modular curves. The treatment is purely expository, and the results are mostly standard, although a few points of view may not be as widely known as they deserve to be.
Keywords
Cite
@article{arxiv.1612.08432,
title = {Modular forms constructed from moduli of elliptic curves, with applications to explicit models of modular curves},
author = {Kamal Khuri-Makdisi},
journal= {arXiv preprint arXiv:1612.08432},
year = {2019}
}
Comments
amslatex, 16 pages, expository lecture notes from BB3 summer school on automorphic forms and related topics, Sarajevo, July 2016. This version: revised after referee's report, ready for final submission