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Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors: 1780 (Lecture Notes in Mathematics, 1780) - Softcover
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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.
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Mathematics. Academic.
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- PublisherSpringer
- Publication date2002
- ISBN 10 3540433201
- ISBN 13 9783540433200
- BindingPaperback
- Number of pages164
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Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors (Lecture Notes in Mathematics) by Bruinier, Jan H. [Paperback ]
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Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors
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Springer Berlin Heidelberg Apr 2002, 2002
ISBN 10: 3540433201
ISBN 13: 9783540433200
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 factthat 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. 164 pp. Englisch. Seller Inventory # 9783540433200
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Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors
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ISBN 10: 3540433201
ISBN 13: 9783540433200
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ISBN 10: 3540433201
ISBN 13: 9783540433200
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 factthat 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. Seller Inventory # 9783540433200
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