Borcherds products on O(2, l) and Chern classes of Heegner divisors /

Borcherds products on O(2, l) and Chern classes of Heegner divisors /

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Bibliographic Details
Author / Creator:	Bruinier, Jan H. (Jan Hendrik), 1971-
Imprint:	Berlin ; New York : Springer-Verlag, ©2002.
Description:	1 online resource (viii, 152 pages).
Language:	English
Series:	Lecture notes in mathematics, 0075-8434 ; 1780 Lecture notes in mathematics (Springer-Verlag) ; 1780.
Subject:	Forms, Modular. Series, Theta. Picard groups. Algebraic cycles. Chern classes. Algebraic cycles. Chern classes. Forms, Modular. Picard groups. Series, Theta.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11064916

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ISBN:	9783540458722 3540458727 9783540433200 3540433201
Notes:	Includes bibliographical references and index. Print version record.
Summary:	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.
Other form:	Print version: Bruinier, Jan H. (Jan Hendrik), 1971- Borcherds products on 0(2,1) and Chern classes of Heegner divisors. Berlin ; New York : Springer-Verlag, ©2002 3540433201

Description
Summary:	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.
Physical Description:	1 online resource (viii, 152 pages).
Bibliography:	Includes bibliographical references and index.
ISBN:	9783540458722 3540458727 9783540433200 3540433201
ISSN:	0075-8434 ;