Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4585075 | Journal of Algebra | 2014 | 28 Pages |
Abstract
We prove a new converse theorem for Borcherdsʼ multiplicative theta lift which improves the previously known results. To this end we develop a newform theory for vector valued modular forms for the Weil representation, which might be of independent interest. We also derive lower bounds for the ranks of the Picard groups and the spaces of holomorphic top degree differential forms of modular varieties associated to orthogonal groups.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jan Hendrik Bruinier,