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- W3174394908 abstract "Let $mathcal{CM}_{Phi}$ be the (integral model of the) stack of principally polarized CM Abelian varieties with a CM-type $Phi$. Considering a pair of nearby CM-types (i.e. such that they are different in exactly one embedding) $Phi_1, Phi_2$, we let $X = mathcal{CM}_{Phi_1} times mathcal{CM}_{Phi_2}$ and define arithmetic divisors $mathcal{Z}(alpha)$ on $X$ such that the Arakelov degree of $mathcal{Z}(alpha)$ is (up to multiplication by an explicit constant) equal to the central value of the $alpha^{text{th}}$ coefficient of the Fourier expansion of the derivative of a Hilbert Eisenstein series." @default.
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- W3174394908 date "2021-07-01" @default.
- W3174394908 modified "2023-09-27" @default.
- W3174394908 title "Special Correspondences of CM Abelian Varieties and Eisenstein Series" @default.
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