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

＜図書＞
Borcherds products on O(2,l) and Chern classes of Heegner divisors

責任表示	Jan H. Bruinier
シリーズ	Lecture notes in mathematics ; 1780
データ種別	図書
出版情報	Berlin : Springer , c2002
本文言語	英語
大きさ	viii, 152 p. ; 24 cm
概要	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 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7007107

一般注記	Includes bibliographical references (p. [141]-144) and index
著者標目	*Bruinier, Jan H.
書誌ID	1001243474
ISBN	3540433201
NCID	BA5647245X
巻冊次	ISBN:3540433201
登録日	2009.09.18
更新日	2017.02.18