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The field of definition of function fields and a problem in the reducibility of polynomials in two variables. (English) Zbl 0266.14013


MSC:

14H05 Algebraic functions and function fields in algebraic geometry
12E05 Polynomials in general fields (irreducibility, etc.)
20B25 Finite automorphism groups of algebraic, geometric, or combinatorial structures
11R58 Arithmetic theory of algebraic function fields