
arXiv: 1110.0292
We use Artin-Schreier base change to construct counterexamples to a Kummer-Vandiver type question for function fields.
Carlitz module, 11G09, 12A35, Kummer-Vandiver conjecture, Algebra and Number Theory, Arithmetic theory of algebraic function fields, Mathematics - Number Theory, FOS: Mathematics, cyclotomic function field, Number Theory (math.NT), Drinfel'd modules; higher-dimensional motives, etc., cyclotomic character
Carlitz module, 11G09, 12A35, Kummer-Vandiver conjecture, Algebra and Number Theory, Arithmetic theory of algebraic function fields, Mathematics - Number Theory, FOS: Mathematics, cyclotomic function field, Number Theory (math.NT), Drinfel'd modules; higher-dimensional motives, etc., cyclotomic character
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