On quasi-periods of abelian functions with complex multiplication

D. W. Masser

Mémoires de la Société Mathématique de France (1980)

  • Volume: 2, page 55-68
  • ISSN: 0249-633X

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Masser, D. W.. "On quasi-periods of abelian functions with complex multiplication." Mémoires de la Société Mathématique de France 2 (1980): 55-68. <http://eudml.org/doc/94819>.

@article{Masser1980,
author = {Masser, D. W.},
journal = {Mémoires de la Société Mathématique de France},
keywords = {Abelian varieties; complex multiplication; beta function; transcendence; division fields; Abelian functions; Abelian integrals},
language = {eng},
pages = {55-68},
publisher = {Société mathématique de France},
title = {On quasi-periods of abelian functions with complex multiplication},
url = {http://eudml.org/doc/94819},
volume = {2},
year = {1980},
}

TY - JOUR
AU - Masser, D. W.
TI - On quasi-periods of abelian functions with complex multiplication
JO - Mémoires de la Société Mathématique de France
PY - 1980
PB - Société mathématique de France
VL - 2
SP - 55
EP - 68
LA - eng
KW - Abelian varieties; complex multiplication; beta function; transcendence; division fields; Abelian functions; Abelian integrals
UR - http://eudml.org/doc/94819
ER -

References

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  1. [1] M. ANDERSON, Linear forms in algebraic points of an elliptic function, Transcendence theory : advances and applications (Eds. A. Baker and D. W. Masser), Academic Press, London (1977). MR57 #16215
  2. [2] S. LANG, Diophantine approximation on abelian varieties with complex multiplication, Advances in Math. 17 (1975), 281-336. Zbl0306.14019MR51 #12726
  3. [3] S. LEFSCHETZ, Algebraic geometry, Oxford University Press, London 1953. Zbl0052.37504MR15,150h
  4. [4] D. W. MASSER, Some vector spaces associated with two elliptic functions, Transcendence theory : advances and applications (Eds. A. Baker and D. W. Masser), Academic Press, London 1977. Zbl0362.10029MR57 #5919
  5. [5] D. W. MASSER, The transcendence of certain quasi-periods associated with abelian functions in two variables, Compositio Math. 35 (1977), 239-258. Zbl0371.10026MR57 #9657
  6. [6] D. W. MASSER, Diophantine approximation and lattices with complex multiplication, Inventiones Math. 45 (1978), 61-82. Zbl0375.10022MR58 #5540
  7. [7] G. SHIMURA and Y. TANIYAMA, Complex multiplication of abelian varieties and its applications to number theory, Publ. Math. Soc. Japan Vol. 6, Tokyo 1961. Zbl0112.03502MR23 #A2419
  8. [8] G. SHIMURA, Automorphic forms and the periods of abelian varieties, J. Math. Soc. Japan 31 (1979), 561-592. Zbl0456.10015MR81j:10034
  9. [9] C. L. SIEGEL, Topics in complex function theory, Vol. III, Wiley-Interscience, New York 1963. Zbl0257.32002
  10. [10] M. WALDSCHMIDT, Nombres transcendants et groupes algébriques, Astérisque 69-70, 1979. Zbl0428.10017MR82k:10041

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