On the moduli of Abelian varieties with multiplications

Walter L. BAILY

doi:10.2969/jmsj/01540367

Walter L. BAILY

Author information

JOURNAL FREE ACCESS

1963 Volume 15 Issue 4 Pages 367-386

DOI https://doi.org/10.2969/jmsj/01540367

Details

Published: 1963 Received: July 23, 1963 Available on J-STAGE: September 26, 2006 Accepted: - Advance online publication: - Revised: -
Correction information
Date of correction: September 26, 2006 Reason for correction: - Correction: DTRECEIVED Details: Wrong : 19630722
Right : 19630723

Date of correction: September 26, 2006 Reason for correction: - Correction: SUBTITLE Details: Wrong : Dedicated to Professor Y. Akizuki on his 60th birthday

Date of correction: September 26, 2006 Reason for correction: - Correction: CITATION Details: Right : [1] W. L. Baily, Jr., On the Hilbert-Siegel modular space, Amer. J. Math., 81 (1959), 846-874.
[2] W. L. Baily, Jr., On the theory of θ-functions, the moduli of Abelian varieties, and the moduli of curves, Ann. of Math., 75 (1962), 342-381.
[3] W. L. Baily, Jr., On the moduli of Abelian varieties with multiplications from an order in a totally real number field, Proc. Int. Cong. of Mathematicians, Stockholm, 1962.
[4] W. L. Baily, Jr., On the theory of automorphic functions and the problem of moduli, Bull. Amer. Math. Soc., (to appear).
[5] F. Conforto, Abelsche Funktionen und Algebraische Geometrie, Springer, Berlin, 1956.
[6] K. Katayama, On the Hilbert-Siegel modular group and Abelian varieties I, J. Fac. Sci. Univ. Tokyo, Sect. 1, 9, Part 3 (1962), 261-291.
[7] K. Kodaira and D. C. Spencer, On deformations of complex analytic structures I, Ann. of Math., 67 (1958), 328-401.
[8] K. Kodaira and D. C. Spencer, Existence of complex structure on a differentiable family of deformations of compact complex manifolds, Ann. of Math., 70 (1959), 145-166.
[9] A. Krazer, Lehrbuch der Thetafunktionen, B. G. Teubner, Leipzig, 1903.
[10] A. Krazer, and F. Prym, Neue Grundlagen einer Theorie der Allgemeiner Thetafunktionen, B. G. Teubner, Leipzig, 1892.
[11] J. P. Serre, Géométrie Algébrique et Géométrie Analytique, Ann. Inst. Fourier, Grenoble, 6 (1955/56), 1-42.
[12] G. Shimura, On the theory of automorphic functions, Ann. of Math., 70 (1959), 101-144.
[13] G. Shimura, On analytic families of polarized Abelian varieties and automorphic functions, Ann. of Math., 78 (1963), 149-192.
[14] G. Shimura, and Y. Taniyama, Complex Multiplication of Abelian Varieties and its Application to Number Theory, Publ. Math. Soc. Japan, Kenkyusha, Tokyo, 1961.
[15] A. Weil, The field of definition of a variety, Amer. J. Math., 78 (1956), 509-524.
[16] G. Shimura, Arithmetic of alternating forms and quaternion Hermitian forms, J. Math. Soc. Japan, 15 (1963), 33-65.

Date of correction: September 26, 2006 Reason for correction: - Correction: PDF FILE Details: -

Corresponding author

Correction information

Register with J-STAGE for free!