Intersections of arithmetic Hirzebruch-Zagier cycles

Details Intersections of arithmetic Hirzebruch-Zagier cycles Intersections of arithmetic Hirzebruch-Zagier cycles

2009-02-11

arxiv.org/abs/0902.1921v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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