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arXiv · 0902.1921

Intersections of arithmetic Hirzebruch-Zagier cycles

Ulrich Terstiege
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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.

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Ulrich Terstiege. 2009-02-11. Intersections of arithmetic Hirzebruch-Zagier cycles. https://arxiv.org/abs/0902.1921

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