English

Intersections of arithmetic Hirzebruch-Zagier cycles

Algebraic Geometry 2009-02-12 v1

Abstract

We establish a close connection between the intersection multiplicity of three arithmetic Hirzebruch-Zagier cycles and the Fourier coefficients of the derivative of a certain Siegel-Eisenstein series at its center of symmetry. Our main result proves a conjecture of Kudla and Rapoport.

Keywords

Cite

@article{arxiv.0902.1921,
  title  = {Intersections of arithmetic Hirzebruch-Zagier cycles},
  author = {Ulrich Terstiege},
  journal= {arXiv preprint arXiv:0902.1921},
  year   = {2009}
}
R2 v1 2026-06-21T12:10:17.149Z