On Two Geometric Theta Lifts
Number Theory
2007-05-23 v4 Algebraic Geometry
Abstract
The theta correspondence has been an important tool in studying cycles in locally symmetric spaces of orthogonal type. In this paper, we establish for O(p,2) an adjointness result between Borcherds' singular theta lift and the Kudla-Millson theta lift. We extend this result to arbitrary signature by introducing a new Borcherds lift for O(p,q). On the geometric side, this lift can be interpreted as a differential character in the sense of Cheeger and Simons.
Keywords
Cite
@article{arxiv.math/0212286,
title = {On Two Geometric Theta Lifts},
author = {Jan Hendrik Bruinier and Jens Funke},
journal= {arXiv preprint arXiv:math/0212286},
year = {2007}
}
Comments
35 pages