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When is an abelian surface isomorphic or isogeneous to a product of elliptic curves?

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References

  • [B] Bourbaki, N.: Algèbre, chap. IX. Formes sesquilinéaires et formes quadratiques. Paris: Hermann 1959

    Google Scholar 

  • [C] Cassels, J.W.S.: Rational quadratic forms. London-New York: Academic Press 1978

    Google Scholar 

  • [GH] Griffiths, Ph., Harris, J.: Principles of algebraic geometry. New York: Wiley 1978

    Google Scholar 

  • [Se] Serre, J.-P.: Cours d’arithmétique. Paris: Presses universitaires de France 1970

    Google Scholar 

  • [Si] Silverberg, A.: Abelian varieties with endomorphism algebra structure. Schriftenreihe Forschungsschwerpunkt Komplexe Mannigfaltikeiten Erlangen Heft Nr. 5 (1988)

  • [SM] Shioda, T., Mitani, N.: Singular abelian surfaces and binary quadratic forms In: Popp. H. (ed.) Classification of algebraic varieties and compact complex manifolds. (Lect. Notes Math., vol. 412, pp. 259–287) Berlin Heidelberg New York: Springer 1974

    Google Scholar 

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Ruppert, W.M. When is an abelian surface isomorphic or isogeneous to a product of elliptic curves?. Math Z 203, 293–299 (1990). https://doi.org/10.1007/BF02570737

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