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Solvable points on genus-one curves over local fields

Published online by Cambridge University Press:  16 May 2012

Ambrus Pál
Ambrus Pál*
Affiliation:
Department of Mathematics, 180 Queen’s Gate, Imperial College, London SW7 2AZ, UK([email protected])
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Abstract

Let be a field complete with respect to a discrete valuation whose residue field is perfect of characteristic . We prove that every smooth, projective, geometrically irreducible curve of genus one defined over with a non-zero divisor of degree a power of has a solvable point over .

Keywords

solvable pointsgenus one curveslocal fields14G0511G07
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 12 , Issue 1 , January 2013 , pp. 31 - 42
Copyright
Copyright © Cambridge University Press 2013

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