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Explicit n-descent on elliptic curves, I. Algebra
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J. E Cremona
,
T. A Fisher
Published/Copyright:
March 12, 2008
Abstract
This is the first in a series of papers in which we study the n-Selmer group of an elliptic curve, with the aim of representing its elements as genus one normal curves of degree n. The methods we describe are practical in the case n = 3 for elliptic curves over the rationals, and have been implemented in MAGMA.
Received: 2006-03-03
Accepted: 2006-12-14
Published Online: 2008-03-12
Published in Print: 2008-02-01
© Walter de Gruyter
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Articles in the same Issue
- Parabolic equations with BMO nonlinearity in Reifenberg domains
- Castelnuovo theory and the geometric Schottky problem
- Cohomology of rational forms and a vanishing theorem on toric varieties
- On the asymptotic expansion of complete Ricciflat Kähler metrics on quasi-projective manifolds
-
The Chow ring of
- Explicit n-descent on elliptic curves, I. Algebra
- On the Lp-Lq maximal regularity of the Neumann problem for the Stokes equations in a bounded domain
- Parameterized stratification and piece number of D-semianalytic sets
