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Endomorphism algebras of complex tori

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References

  1. Albert, A.A.: Structure of algebras. A.M.S. Colloq. Pub.24, 1961

  2. Gerritzen, L.: On multiplication algebras of Riemann matrices. Math. Ann.194, 109–122 (1971)

    Google Scholar 

  3. Jacobson, N.: Lie algebras. Intersc. Publ. 1962

  4. Lang, S.: Complex multiplication. Grundl. Bd.255, Springer-Verlag 1983

  5. Lange, H, Birkenhake, Ch.: Complex abelian varieties. Grundl.302, Springer-Verlag 1992

  6. Lenstra, H.W., Jr., Oort, F., Zarhin, Yu.G.: Abelian subvarieties. Preprint 842, Utrecht, March 1994

  7. Mumford, D.: Abelian varieties. Tata Inst. Fund. Res., Oxford Univ. Press 1970

  8. Mumford, D.: A note of Shimura's paper “Discontinuous groups and abelian varieties”. Math. Ann.181, 345–351 (1969)

    Google Scholar 

  9. Oort, F.: Endomorphism algebras of abelian varieties. Alg. Geom. and Commut. Algebra in Honor of M. Nagata (1987, Ed. H. Hijikata et al.), Kinokuniya Cy, Tokyo 1988; Vol. II, pp. 469–502

  10. Shafarevich, I.R.: Basic algebraic geometry. Grundl. Bd.213, Springer-Verlag 1974

  11. Shimura, G.: On analytic families of polarized abelian varieties and automorphic functions. Ann. Math.78, 149–192 (1963)

    Google Scholar 

  12. Shimura, G., Taniyama, Y.: Complex multiplication of abelian varieties and its applications to number theory. Publ. Math. Soc. Japan6, Math. Soc. Japan 1961

  13. Silverberg, A.: Abelian varieties with endomorphism algebra structure. Forschungsschwerpunkt Komplexe Mannigfaltigkeiten, Schriftenreihe, Heft Nr. 5, Erlangen, 1988

  14. Zarhin, Yu.G.: Action of semisimple Lie groups and orbits of Cartan subgroups. Arch. Math.56, 491–496 (1991)

    Google Scholar 

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Authors and Affiliations

  1. Mathematisch Instituut, Budapestlaan 6, 3508 TA, Utrecht, The Netherlands

    Frans Oort

  2. Department of Mathematics, The Pennsylvania State University, 16802, University Park, PA, USA

    Yuri Zarhin

  3. Institute for Mathema. Problems in Biology, Russian Academy of Sciences, 142292, Pushchino, Moscow Region, Russia

    Yuri Zarhin

Authors
  1. Frans Oort
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  2. Yuri Zarhin
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Oort, F., Zarhin, Y. Endomorphism algebras of complex tori. Math. Ann. 303, 11–29 (1995). https://doi.org/10.1007/BF01460976

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