# Intersections of arithmetic Hirzebruch-Zagier cycles

Ulrich Terstiege

Number | 55 |
---|---|

Author | Ulrich Terstiege |

Project | B07 |

Year | 2009 |

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.