2-Descent on the jacobians of hyperelliptic curves

Journal of Number Theory

Volumn 51, Issue 2, 1995, Pages 219-232

  Schaefer, Edward F ^a  

^a SANTA CLARA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000589747     PISSN: 0022314X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jnth.1995.1044     Document Type: Article

References (8)

1. E. Arbarello, M. Cornalba, P. A. Griffiths, and J. Harris, “Geometry of Algebraic Curves, I, ” Grundlehren der Mathematischen Wissenschaften, Vol. 267, Springer-Verlag, New York, 1985.
2. A. Brumer and K. Kramer, The rank of elliptic curves, Duke Math. J. 44 (1977), 715-743.
3. J. W. S. Cassels, The Mordell-Weil group of curves of genus 2, in “Arithmetic and Geometry I” (M. Artin and J. Tate, Eds.), pp. 27-60, Birkhäuser, Boston, 1983.
4. E. V. Flynn, Descent via isogeny in dimension 2, Acta Arith. 66 (1994), 23-43.
5. D. Gordon and D. Grant, Computing the Mordell-Weil rank of Jacobians of curves of genus two, Trans. Amer. Math. Soc. 337 (1993), 807-824.
6. A. Mattuck, Abelian varieties over p-adic ground fields, Ann. of Math. 62 (1955), 92-119.
7. J. S. Milne, “Arithmetic Duality Theorems, ” Academic Press, San Diego, 1986.
8. J. P. Serre, “Local Fields, ” Springer-Verlag, New York, 1979.