Borcherds Products on O(2, L) and Chern Classes of Heegner Divisors (2002) Electric Literature or with a partner

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Borcherds Products on O(2, L) and Chern Classes of Heegner Divisors (2002) Electric Literature or with a partnerAround 1994 R. Borcherds discovered a new type of meromorphic modular form on the orthogonal group $O(2, n)$. These "Borcherds products" have infinite product expansions analogous to the Dedekind eta function. They arise as multiplicative liftings of elliptic modular forms on $(SL)_2(R)$. The fact that the zeros and poles of Borcherds products are explicitly given in terms of Heegner divisors makes them interesting for geometric and arithmetic