A geometrical approach to the theory of Jacobi forms
Compositio Mathematica, Tome 79 (1991) no. 1, pp. 1-19.
@article{CM_1991__79_1_1_0,
     author = {Kramer, J\"urg},
     title = {A geometrical approach to the theory of {Jacobi} forms},
     journal = {Compositio Mathematica},
     pages = {1--19},
     publisher = {Kluwer Academic Publishers},
     volume = {79},
     number = {1},
     year = {1991},
     mrnumber = {1112278},
     zbl = {0724.11028},
     language = {en},
     url = {http://www.numdam.org/item/CM_1991__79_1_1_0/}
}
TY  - JOUR
AU  - Kramer, Jürg
TI  - A geometrical approach to the theory of Jacobi forms
JO  - Compositio Mathematica
PY  - 1991
SP  - 1
EP  - 19
VL  - 79
IS  - 1
PB  - Kluwer Academic Publishers
UR  - http://www.numdam.org/item/CM_1991__79_1_1_0/
LA  - en
ID  - CM_1991__79_1_1_0
ER  - 
%0 Journal Article
%A Kramer, Jürg
%T A geometrical approach to the theory of Jacobi forms
%J Compositio Mathematica
%D 1991
%P 1-19
%V 79
%N 1
%I Kluwer Academic Publishers
%U http://www.numdam.org/item/CM_1991__79_1_1_0/
%G en
%F CM_1991__79_1_1_0
Kramer, Jürg. A geometrical approach to the theory of Jacobi forms. Compositio Mathematica, Tome 79 (1991) no. 1, pp. 1-19. http://www.numdam.org/item/CM_1991__79_1_1_0/

[1] T.M. Apostol, Modular Functions and Dirichlet Series in Number Theory, Graduate Texts in Math. 41, Springer-Verlag, Berlin-Heidelberg -New York (1976). | MR | Zbl

[2] A. Ash, D. Mumford, M. Rapoport, Y. Tai, Smooth Compactification of Locally Symmetric Varieties, Brookline, Massachusetts. | Zbl

[3] R. Berndt, Meromorphe Funktionen auf Mumford's Kompaktifizierung der universellen elliptischen Kurve N-ter Stufe, J. reine und angew. Math. 326 (1981), 95-103. | MR | Zbl

[4] M. Eichler, D. Zagier, On the theory of Jacobi forms, Progress in Math. 55, Birkhäuser- Verlag, Boston- Basel-Stuttgart (1984). | MR | Zbl

[5] K. Kodaira, On compact analytic surfaces II, III, Ann. of Math. 77 (1963), 563-626, 78 (1963), 1-40. | MR | Zbl

[6] J. Kramer, Jacobiformen und Thetareihen, Manuscripta Math. 54 (1986), 279-322. | MR | Zbl

[7] D. Mumford, Abelian Varieties, Oxford University Press (1970). | MR | Zbl

[8] D. Mumford, Tata Lectures on Theta I, Progress in Math. 28, Birkhäuser-Verlag, Boston- Basel-Stuttgart (1983). | MR | Zbl

[9] T. Shioda, On elliptic modular surfaces, J. Math. Soc. Japan, Vol. 24, No. 1 (1972), 20-59. | MR | Zbl

[10] N.-P. Skoruppa, The Dimensions of the Spaces of Jacobi Forms, Preprint (1989).

[11] N.-P. Skoruppa, D. Zagier, A trace formula for Jacobi Forms, J. reine und angew. Math. (to appear). | EuDML | MR | Zbl

[12] Séminaire de Géométrie Algébrique du Bois-Marie 1965-66 SGA 5: Cohomologie 1-adique et Fonctions L, Lecture Notes in Math. 589, Springer-Verlag, Berlin-Heidelberg - New York (1977). | Zbl