Implementing 2-descent for Jacobians of Hyperelliptic Curves

@inproceedings{Stoll1999Implementing2F,
  title={Implementing 2-descent for Jacobians of Hyperelliptic Curves},
  author={Michael Stoll},
  year={1999}
}
This paper gives a fairly detailed description of an algorithm that computes (the size of) the 2-Selmer group of the Jacobian of a hyperellitptic curve over Q. The curve is assumed to have even genus or to possess a Q-rational Weierstraa point. 

From This Paper

Topics from this paper.
59 Citations
17 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 17 references

Computing a Selmer group of a Jacobian using functions on the curve

  • E F Schaefer
  • Math. Ann
  • 1998

Algorithms for modular elliptic curves, 2 nd edition

  • J Cremona
  • Algorithms for modular elliptic curves, 2 nd…
  • 1997

Cycles of quadratic polynomials and rational points on a genus{two curve, Duke Math

  • V Flynn, B Poonen, E F Schaefer
  • J
  • 1997

Prolegomena to a middlebrow arithmetic of curves of genus 2

  • W S Cassels, E V Flynn
  • Prolegomena to a middlebrow arithmetic of curves…
  • 1996

Schaefer: 2-descent on the Jacobians of hyperelliptic curves

  • J. Number Theory
  • 1995

J. Neukirch: Algebraische Zahlentheorie

  • J. Neukirch: Algebraische Zahlentheorie
  • 1992

Raynaud: N eron models

  • S Bosch, W L Utkebohmert
  • Math. Grenzgeb. 3. Folge, Bd
  • 1990

Similar Papers

Loading similar papers…