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

Name: Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors
ISBN: 9783540433200

Jan H. Bruinier

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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 that the zeros and poles of Borcherds products are explicitly given in terms of Heegner divisors makes them interesting for geometric and arithmetic applications. In the present text the Borcherds' construction is extended to Maass wave forms and is used to study the Chern classes of Heegner divisors. A converse theorem for the lifting is proved.

카테고리:

Mathematics

년:

2002

판:

출판사:

Springer

언어:

english

페이지:

168

ISBN 10: