Universität zu Köln

Schwagenscheidt, Markus ORCID: 0000-0002-8214-3106 and Williams, Brandon (2019). Twisted component sums of vector-valued modular forms. Abh. Math. Semin. Univ. Hamburg, 89 (2). S. 151 - 169. HEIDELBERG: SPRINGER HEIDELBERG. ISSN 1865-8784

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Abstract

We construct isomorphisms between spaces of vector-valued modular forms for the dual Weil representation and certain spaces of scalar-valued modular forms in the case that the underlying finite quadratic module A has order p or 2p, where p is an odd prime. The isomorphisms are given by twisted sums of the components of vector-valued modular forms. Our results generalize work of Bruinier and Bundschuh to the case that the components F-gamma of the vector-valued modular form are antisymmetric in the sense that F-gamma = -F-gamma for all gamma is an element of A. As an application, we compute restrictions of Doi-Naganuma lifts of odd weight to components of Hirzebruch-Zagier curves.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Schwagenscheidt, Markus UNSPECIFIED orcid.org/0000-0002-8214-3106 UNSPECIFIED Williams, Brandon UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-131818
DOI:	10.1007/s12188-019-00209-4
Journal or Publication Title:	Abh. Math. Semin. Univ. Hamburg
Volume:	89
Number:	2
Page Range:	S. 151 - 169
Date:	2019
Publisher:	SPRINGER HEIDELBERG
Place of Publication:	HEIDELBERG
ISSN:	1865-8784
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/13181