Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors - Info and Reading Options
By Jan H. Bruinier

"Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors" is published by Springer in May 31, 2002, it has 152 pages and the language of the book is English.
“Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors” Metadata:
- Title: ➤ Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors
- Author: Jan H. Bruinier
- Language: English
- Number of Pages: 152
- Publisher: Springer
- Publish Date: May 31, 2002
“Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors” Subjects and Themes:
- Subjects: ➤ Picard groups - Theta Series - Algebraic cycles - Modular Forms - Chern classes - Finite fields (algebra) - Functions, theta - Algebraic Geometry - Mathematics - Field theory (Physics) - Geometry, algebraic - Field Theory and Polynomials
Edition Specifications:
- Format: Paperback
- Weight: 8 ounces
- Dimensions: 9.1 x 5.9 x 0.4 inches
Edition Identifiers:
- The Open Library ID: OL12775135M - OL10058366W
- Online Computer Library Center (OCLC) ID: 49284092
- Library of Congress Control Number (LCCN): 2002023605
- ISBN-13: 9783540433200
- ISBN-10: 3540433201
- All ISBNs: 3540433201 - 9783540433200
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"Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors" Description:
The Open Library:
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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