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In mathematics, a global field is one of two type of fields (the other one is local field) which are characterized using valuations. There are two kinds of global fields: * Algebraic number field: A finite extension of * Global function field: The function field of an algebraic curve over a finite field, equivalently, a finite extension of , the field of rational functions in one variable over the finite field with elements. An axiomatic characterization of these fields via valuation theory was given by Emil Artin and George Whaples in the 1940s.

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• In mathematics, a global field is one of two type of fields (the other one is local field) which are characterized using valuations. There are two kinds of global fields: * Algebraic number field: A finite extension of * Global function field: The function field of an algebraic curve over a finite field, equivalently, a finite extension of , the field of rational functions in one variable over the finite field with elements. An axiomatic characterization of these fields via valuation theory was given by Emil Artin and George Whaples in the 1940s. (en)
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• In mathematics, a global field is one of two type of fields (the other one is local field) which are characterized using valuations. There are two kinds of global fields: * Algebraic number field: A finite extension of * Global function field: The function field of an algebraic curve over a finite field, equivalently, a finite extension of , the field of rational functions in one variable over the finite field with elements. An axiomatic characterization of these fields via valuation theory was given by Emil Artin and George Whaples in the 1940s. (en)
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• Global field (en)
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