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Bulletin of the American Mathematical Society

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Elliptic curves and real algebraic morphisms into the 2-sphere


Authors: J. Bochnak and W. Kucharz
Journal: Bull. Amer. Math. Soc. 25 (1991), 81-87
MSC (1985): Primary 14G30, 14C99, 57R19
MathSciNet review: 1080003
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  • 1. J. Bochnak, M. Coste, and M.-F. Roy, Géométrie algébrique réelle, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 12, Springer-Verlag, Berlin, 1987 (French). MR 949442
  • 2. J. Bochnak and W. Kucharz, Realization of homotopy classes by algebraic mappings, J. Reine Angew. Math. 377 (1987), 159–169. MR 887406
  • 3. J. Bochnak and W. Kucharz, On real algebraic morphisms into even-dimensional spheres, Ann. of Math. (2) 128 (1988), no. 2, 415–433. MR 960952, 10.2307/1971431
  • 4. Jacek Bochnak and Wojciech Kucharz, Algebraic models of smooth manifolds, Invent. Math. 97 (1989), no. 3, 585–611. MR 1005007, 10.1007/BF01388891
  • 5. Dale Husemoller, Elliptic curves, Graduate Texts in Mathematics, vol. 111, Springer-Verlag, New York, 1987. With an appendix by Ruth Lawrence. MR 868861
  • 6. N. V. Ivanov, Approximation of smooth manifolds by real algebraic sets, Uspekhi Mat. Nauk 37 (1982), no. 1(223), 3–52, 176 (Russian). MR 643764
  • 7. Jean-Louis Loday, Applications algébriques du tore dans la sphère et de 𝑆^{𝑝}×𝑆^{𝑞} dans 𝑆^{𝑝+𝑞}, Algebraic 𝐾-theory, II: “Classical” algebraic 𝐾-theory and connections with arithmetic (Proc. Conf., Seattle Res. Center, Battelle Memorial Inst., 1972) Springer, Berlin, 1973, pp. 79–91. Lecture Notes in Mathematics, Vol. 342 (French). MR 0368034

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DOI: https://doi.org/10.1090/S0273-0979-1991-16030-1