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Singular moduli of higher level and special cycles

Singular moduli of higher level and special cycles

We describe the complex multiplication (CM) values of modular functions for $$\Gamma _0(N)$$ whose divisor is given by a linear combination of Heegner divisors in terms of special cycles on the stack of CM elliptic curves. In particular, our results apply to Borcherds products of weight $$0$$ for $$\Gamma _0(N)$$ …