Unique range sets in positive characteristic

  title={Unique range sets in positive characteristic},
  author={William Cherry}
  • William Cherry
1. Introduction. In the course of studying the factorization of mero-morphic functions (on the complex plane), Gross [13] introduced the concept of a unique range set, which we now define. Let f be a function for which it makes sense to talk about the " multiplicity " with which it takes on a value. For example, f could be a non-constant polynomial or an entire function. Let S be a set in the range of f. Then, define E(f, S) = a∈S {(z, m) : f (z) = a with multiplicity m}. Here z runs over the… CONTINUE READING


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