SOLVABLE POINTS ON GENUS-ONE CURVES OVER LOCAL FIELDS

作者：Pal Ambrus^*

来源：Journal of the Institute of Mathematics of Jussieu, 2013, 12(1): 31-42.

DOI：10.1017/S147474801200062X

• solvable points
• genus one curves
• local fields

Let F be a field complete with respect to a discrete valuation whose residue field is perfect of characteristic p > 0. We prove that every smooth, projective, geometrically irreducible curve of genus one defined over F with a non-zero divisor of degree a power of p has a solvable point over F.

• 出版日期2013-1