On the converse theorem for Borcherds products
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Publication:405870
DOI10.1016/J.JALGEBRA.2013.08.034zbMATH Open1296.11046arXiv1210.4821OpenAlexW2962775928MaRDI QIDQ405870
Author name not available (Why is that?)
Publication date: 8 September 2014
Published in: (Search for Journal in Brave)
Abstract: We prove a new converse theorem for Borcherds' 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.
Full work available at URL: https://arxiv.org/abs/1210.4821
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