Explicit Descent for Jacobians of Cyclic Covers of the Projective Line Bjorn Poonen And

@inproceedings{Schaefer2006ExplicitDF,
  title={Explicit Descent for Jacobians of Cyclic Covers of the Projective Line Bjorn Poonen And},
  author={Edward F. Schaefer},
  year={2006}
}
We develop a general method for bounding Mordell-Weil ranks of Jacobians of arbitrary curves of the form y = f(x). As an example, we compute the Mordell-Weil ranks over Q and Q( √ −3) for a non-hyperelliptic curve of genus 8. 

From This Paper

Figures, tables, and topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 22 references

Effective Chabauty

  • R. F. Coleman
  • Duke Math. J
  • 1985
Highly Influential
5 Excerpts

The Mordell-Weil group of curves of genus

  • J.W.S. Cassels
  • Arithmetic and Geometry I, Birkhäuser,
  • 1983
Highly Influential
5 Excerpts

Duality theorems for curves over p-adic fields

  • S. Lichtenbaum
  • Invent. Math
  • 1969
Highly Influential
6 Excerpts

Weierstrass points on cyclic covers of the projective line

  • C. Towse
  • Trans. Amer. Math. Soc
  • 1996
1 Excerpt

The behavior of the MordellWeil group of elliptic curves , Bull

  • A. Brumer, O. McGuinness
  • Amer . Math . Soc . ( N . S . )
  • 1995

On the method of Coleman and Chabauty

  • W. McCallum
  • Math. Ann
  • 1994
1 Excerpt

Similar Papers

Loading similar papers…