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Solvable points on genus-one curves over local fields
Published online by Cambridge University Press: 16 May 2012
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 .
- 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