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Heights of small CM cycles on Unitary Shimura Varieties

Guo, Ziqi
arXiv (All) · Papers
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number-theory
We compute the heights of small CM cycles on unitary Shimura varieties for general choices of the one-dimensional Hermitian subspace $W$ defining the embedding. The formula contains the logarithmic derivative of a quadratic Hecke $L$-function and explicit local terms depending on the choice of $W$.
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