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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.

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