dc.contributor
Centre de Recerca Matemàtica
dc.contributor.author
Bruinier, Jan H.
dc.contributor.author
Funke, J.
dc.date.accessioned
2007-03-15T16:02:56Z
dc.date.accessioned
2024-09-19T13:19:49Z
dc.date.available
2007-03-15T16:02:56Z
dc.date.available
2024-09-19T13:19:49Z
dc.identifier.uri
http://hdl.handle.net/2072/3727
dc.description.abstract
We consider the Kudla-Millson lift from elliptic modular forms of weight (p+q)/2 to closed q-forms on locally symmetric spaces
corresponding to the orthogonal group O(p,q). We study the L²-norm of the lift following the Rallis inner product formula. We compute
the contribution at the Archimedian place. For locally symmetric spaces associated to even unimodular lattices, we obtain an explicit formula for the L²-norm of the lift, which often implies that the lift is injective. For O(p,2) we discuss how such injectivity results imply the surjectivity of the Borcherds lift.
eng
dc.format.extent
322484 bytes
dc.format.mimetype
application/pdf
dc.publisher
Centre de Recerca Matemàtica
en
dc.relation.ispartofseries
Prepublicacions del Centre de Recerca Matemàtica;708
dc.rights
Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/)
cat
dc.subject.other
Grups discontinus
en
dc.subject.other
Formes automòrfiques
en
dc.title
On the injectivity of the Kudla-Millson lift and surjectivity of the Borcherds lift
en
dc.type
info:eu-repo/semantics/preprint
en
