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

✍ Scribed by Jan H. Bruinier

Book ID
127406132
Publisher
Springer
Year
2002
Tongue
English
Weight
751 KB
Series
Lecture Notes in Mathematics
Edition
1
Category
Library
ISBN-13
9783540433200

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

Borcherds Products on O(2,l) and Chern C
Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors
✍ Jan H. Bruinier πŸ“‚ Library πŸ“… 2002 πŸ› Springer 🌐 English βš– 1 MB

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