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Hyperelliptic curves over number fields

Part of the Lecture Notes in Mathematics book series (LNM,volume 412)

Keywords

  • Elliptic Curve
  • Elliptic Curf
  • Class Number
  • Hyperelliptic Curve
  • Weierstrass Point

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References

  1. Chowla, S., Proof of a conjecture of Julia Robinson. Norske Vid. Selsk.Forh. (Trondheim) 34 (1961), 100–101.

    MathSciNet  MATH  Google Scholar 

  2. Fulton, W., Algebraic curves. Benjamin, 1969.

    Google Scholar 

  3. Hasse, H., Zahlentheorie. Akad. Verlag, Berlin, 1963.

    Google Scholar 

  4. Lang, S., Diophantine geometry. Intersc. Publ., 1962.

    Google Scholar 

  5. Ogg, A.P., Abelian curves of 2-power conductor. Proc. Camb. Phil. Soc. 62 (1966), 143–148.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Ogg, A. P., Abelian curves of small conductor. Journ. r. angew. Math. 226 (1967), 204–215.

    MathSciNet  MATH  Google Scholar 

  7. Parshin, A.N., Quelques conjectures de finitude en gémétrie diophantienne. Actes, Congrès intern. math., 1970, 1, 467–471.

    Google Scholar 

  8. Parshin, A.N., Minimal models of curves of genus 2 and homomorphisms of abelian varieties defined over a field of finite characteristic. Izv. Akad. Nauk SSSR 36 (1972) (Math. USSR Izvestija, 6 (1972), 65–108).

    CrossRef  MATH  Google Scholar 

  9. Serre, J.-P., Cohomologie Galoisienne. Lect. N. Math. 5, Springer Verlag, 1964.

    Google Scholar 

  10. Serre, J.-P., Abelian l-adic representations and elliptic curves (McGill University lecture notes). Benjamin, 1968.

    Google Scholar 

  11. Shafarevich, I.R., Algebraic number fields. Proc. ICM, Stockholm 1962, 163–176 (Amer. Math. Soc. Translat. 31 (1963), 25–39).

    CrossRef  MATH  Google Scholar 

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© 1974 Springer-Verlag

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OORT, F. (1974). Hyperelliptic curves over number fields. In: Popp, H. (eds) Classification of Algebraic Varieties and Compact Complex Manifolds. Lecture Notes in Mathematics, vol 412. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066160

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  • DOI: https://doi.org/10.1007/BFb0066160

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06951-5

  • Online ISBN: 978-3-540-37877-8

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