Complex multiplication cycles and Kudla-Rapoport divisors
Number Theory
2013-03-05 v1
Abstract
We study the intersections of special cycles on a unitary Shimura variety of signature (n-1,1), and show that the intersection multiplicities of these cycles agree with Fourier coefficients of Eisenstein series. The results are new cases of conjectures of Kudla, and suggest a Gross-Zagier theorem for unitary Shimura varieties.
Keywords
Cite
@article{arxiv.1303.0545,
title = {Complex multiplication cycles and Kudla-Rapoport divisors},
author = {Benjamin Howard},
journal= {arXiv preprint arXiv:1303.0545},
year = {2013}
}