On the Computation of Integral Closures of Cyclic Extensions of Function Fields
Robert Fraatz · LMS Journal of Computation and Mathematics · 2007
Abstract LetSbe a non-empty proper subset of the set of places of a global function fieldFandEa cyclic Kummer or Artin–Schreier–Witt extension ofF. We present a method of efficiently computing the ring of elements ofEwhich are integral at all places ofS. As an important tool, we include an algorithmic version of the strong approximation theorem. We conclude with several examples.