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On the number of connected components of real abelian varieties that admit sufficiently many complex multiplications

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References

  1. Bochnak, J., Coste, M., Roy, M.-F.:Géométrie algébrique réelle. Berlin Heidelberg New York: Springer 1987

    MATH  Google Scholar 

  2. Gross, B. H., Harris, J.: Real algebraic curves.Ann. scient. Ec. Norm. Sup. 14, 157–182 (1981)

    MATH  MathSciNet  Google Scholar 

  3. Hartshorne, R.:Algebraic geometry. Berlin Heidelberg New York: Springer 1977

    MATH  Google Scholar 

  4. Huisman, J.:Real abelian varieties with complex multiplication. Thesis, Vrije Universiteit Amsterdam, 1992

  5. Oort, F.: The isogeny class of a CM-type abelian variety is defined over a finite extension of the prime field.J. Pure Appl. Algebra 3, 399–408 (1973)

    Article  MathSciNet  Google Scholar 

  6. Serre, J.-P.:Local fields. Berlin Heidelberg New York: Springer 1979

    MATH  Google Scholar 

  7. Silverman, J. H.:The arithmetic of elliptic curves. Berlin Heidelberg New York: Springer 1986

    MATH  Google Scholar 

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  1. Mathematical Institute, University of Utrecht, Postbus 80010, 3508 TA, Utrecht, The Netherlands

    J. Huisman

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  1. J. Huisman
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Supported by the Netherlands Organisation for Scientific Research (NWO)

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Huisman, J. On the number of connected components of real abelian varieties that admit sufficiently many complex multiplications. Manuscripta Math 85, 165–175 (1994). https://doi.org/10.1007/BF02568191

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  • DOI: https://doi.org/10.1007/BF02568191

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