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math.NT2018
The lambda invariants at CM points
Tonghai Yang, Hongbo Yin, Peng Yu
In the paper, we show that , and are all Borcherds products in . We then use the big CM value formula of Bruinier, Kudla, and…
math.NT2018
Arithmetic degrees of special cycles and derivatives of Siegel Eisenstein series
Jan Hendrik Bruinier, Tonghai Yang
Let V be a rational quadratic space of signature (m,2). A conjecture of Kudla relates the arithmetic degrees of top degree special cycles on an integral model of a Shimura variety…
math.NT2018
Twisted arithmetic Siegel Weil formula on X0(N)
Tuoping Du, Tonghai Yang
In this paper, we study twisted arithmetic divisors on the modular curve X_0(N) with N square-free. For each pair (Δ, r) where Δ>0 and Δ\equiv r^2 \mod 4N, we constructed a twisted…