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

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 $(SL)_2(R)$. T...

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Bibliographic Details
Main Author:	Bruinier, Jan H. (Jan Hendrik), 1971-
Corporate Author:	SpringerLink (Online service)
Format:	eBook
Language:	English
Published:	Berlin ; New York : Springer-Verlag, [2002]
Series:	Lecture notes in mathematics (Springer-Verlag) ; 1780.
Subjects:	Forms, Modular. Series, Theta. Picard groups. Algebraic cycles. Chern classes. Algebraischer Zyklus. Automorphe Form. Modulform. Divisor. Formes modulaires. Cycles algébriques. Fonctions thêta. Chern, Classes de. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Introduction
Vector valued modular forms for the metaplectic group. The Weil representation. Poincar series and Einstein series. Non-holomorphic Poincar series of negative weight
The regularized theta lift. Siegel theta functions. The theta integral. Unfolding against F. Unfolding against theta
The Fourier theta lift. Lorentzian lattices. Lattices of signature (2,l). Modular forms on orthogonal groups. Borcherds products
Some Riemann geometry on O(2,l). The invariant Laplacian. Reduction theory and L^p-estimates. Modular forms with zeros and poles on Heegner divisors
Chern classes of Heegner divisors. A lifting into cohomology. Modular forms with zeros and poles on Heegner divisors II.