English

A note on higher Green's functions

Algebraic Geometry 2025-09-03 v1 Number Theory

Abstract

We give a cycle-theoretic proof of the Gross-Zagier conjecture in weight four for several modular curves of genus zero.

Cite

@article{arxiv.2509.02382,
  title  = {A note on higher Green's functions},
  author = {Charles F. Doran and Matt Kerr},
  journal= {arXiv preprint arXiv:2509.02382},
  year   = {2025}
}

Comments

14 pages; comments welcome!

R2 v1 2026-07-01T05:17:28.695Z