Geodesic
Jacobi Forms on Symmetric Domains and Torus Bundles over Abelian Schemes
Journal of Lie Theory, Tome 11 (2001) no. 2, pp. 545-557

Voir la notice de l'article provenant de la source Heldermann Verlag

Zbl   EuDML

We introduce Jacobi forms on Hermitian symmetric domains using automorphy factors associated to torus bundles over abelian schemes. We discuss families of modular forms determined by such Jacobi forms and prove that these Jacobi forms reduce to the usual Jacobi forms of several variables when the Hermitian symmetric domain is a Siegel upper half space.
Classification : 11F50, 32N10
Mots-clés : Jacobi forms, Hermitian symmetric domains, automorphy factors, torus bundles, Abelian schemes 
M. H. Lee. Jacobi Forms on Symmetric Domains and Torus Bundles over Abelian Schemes. Journal of Lie Theory, Tome 11 (2001) no. 2, pp. 545-557. http://geodesic.mathdoc.fr/item/JOLT_2001_11_2_a14/
@article{JOLT_2001_11_2_a14,
     author = {M. H. Lee},
     title = {Jacobi {Forms} on {Symmetric} {Domains} and {Torus} {Bundles} over {Abelian} {Schemes}},
     journal = {Journal of Lie Theory},
     pages = {545--557},
     year = {2001},
     volume = {11},
     number = {2},
     zbl = {1007.11022},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2001_11_2_a14/}
}
TY  - JOUR
AU  - M. H. Lee
TI  - Jacobi Forms on Symmetric Domains and Torus Bundles over Abelian Schemes
JO  - Journal of Lie Theory
PY  - 2001
SP  - 545
EP  - 557
VL  - 11
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JOLT_2001_11_2_a14/
ID  - JOLT_2001_11_2_a14
ER  - 
%0 Journal Article
%A M. H. Lee
%T Jacobi Forms on Symmetric Domains and Torus Bundles over Abelian Schemes
%J Journal of Lie Theory
%D 2001
%P 545-557
%V 11
%N 2
%U http://geodesic.mathdoc.fr/item/JOLT_2001_11_2_a14/
%F JOLT_2001_11_2_a14