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On the Computation of Integral Closures of Cyclic Extensions of Function Fields
Published online by Cambridge University Press: 01 February 2010
Abstract
Let S be a non-empty proper subset of the set of places of a global function field F and E a cyclic Kummer or Artin–Schreier–Witt extension of F. We present a method of efficiently computing the ring of elements of E which are integral at all places of S. As an important tool, we include an algorithmic version of the strong approximation theorem. We conclude with several examples.
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- Copyright © London Mathematical Society 2007