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Borcherds Products On O2l And Chern Classes Of Heegner Divisors 1st Edition Jan H Bruinier

SKU: BELL-987048

$ 31.00 ~~$ 45.00~~ (-31%)

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Borcherds Products On O2l And Chern Classes Of Heegner Divisors 1st Edition Jan H Bruinier instant download after payment.

Publisher: Springer

File Extension: PDF

File size: 1.28 MB

Pages: 168

Author: Jan H. Bruinier

ISBN: 9783540433200, 3540433201

Language: English

Year: 2002

Edition: 1

Product desciption

Borcherds Products On O2l And Chern Classes Of Heegner Divisors 1st Edition Jan H Bruinier by Jan H. Bruinier 9783540433200, 3540433201 instant download after payment.

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.