Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors

by Jan H. Bruinier

2002 152 pages eng

Around 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 th…