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Which abelian surfaces are products of elliptic curves?

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References

  1. Deuring, M.: Die Typen der Multiplikatorenringe elliptischer Funktionenkörper. Abh. Math. Sem. Hamburg14, 197–272 (1941)

    Google Scholar 

  2. Demazure, M., Gabriel, P.: Groupes algébriques, I. Amsterdam: North-Holl. Publ. Cy. 1970

    Google Scholar 

  3. Honda, T.: Isogeny classes of abelian varieties over finite fields. Journ. Math. Soc. Japan20, 83–95 (1968)

    Google Scholar 

  4. Lenstra, H. W. Jr., Oort, F.: Simple abelian varieties having a prescribed formal isogeny type. Journ. pure appl. algebra4, 47–53 (1974)

    Google Scholar 

  5. Manin, Yu. I.: The theory of commutative formal groups over fields of finite characteristic. Russ. Math. Surveys18, 1–80 (1963)

    Google Scholar 

  6. Milne, J. S.: The homological dimension of commutative group schemes over a perfect field. Journ. Algebra16, 436–441 (1970)

    Google Scholar 

  7. Oort, F.: Commutative group schemes. Lect. Notes Math. 15, Berlin-Heidelberg-New York: Springer 1966

    Google Scholar 

  8. Oort, F., Oda, T.: Higher extensions of abelian varieties. Nagoya Math. J.31, 81–88 (1968)

    Google Scholar 

  9. Oort, F.: Subvarieties of moduli spaces. Inventiones math.24, 95–119 (1974)

    Google Scholar 

  10. Poletti, M.: Differentiali esatti di prima specie su varietà abeliane. Ann. Scuola norm. sup. Pisa, Sci. fis. mat.21, 107–110 (1967)

    Google Scholar 

  11. Serre, J.-P.: Espaces fibrés algébriques. Sém. C. Chevalley2, exp. 1 (1958)

  12. Serre, J.-P.: Groupes proalgébriques. Publ. Math. No. 7, IHES, 1960

  13. Waterhouse, W. C.: Abelian varieties over finite fields. Ann. sc. Ec. Norm. Sup.2, 521–560 (1969)

    Google Scholar 

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  1. Mathematisch Instituut, Roetersstraat 15, Amsterdam, The Netherlands

    Frans Oort

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  1. Frans Oort
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Oort, F. Which abelian surfaces are products of elliptic curves?. Math. Ann. 214, 35–47 (1975). https://doi.org/10.1007/BF01428253

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