English

The Gross-Kohnen-Zagier theorem in higher dimensions

alg-geom 2007-05-23 v3 Algebraic Geometry

Abstract

The Gross-Kohnen-Zagier theorem describes Heegner points on a modular curve in terms of coefficients of modular forms. We give another proof of this theorem which generalizes to higher dimensions.

Keywords

Cite

@article{arxiv.alg-geom/9710002,
  title  = {The Gross-Kohnen-Zagier theorem in higher dimensions},
  author = {Richard E. Borcherds},
  journal= {arXiv preprint arXiv:alg-geom/9710002},
  year   = {2007}
}

Comments

14 pages plain tex. This version fills a minor gap in the proof in the published version

R2 v1 2026-07-22T07:42:50.181Z