Function field (scheme theory)
The sheaf of rational functions KX of a scheme X is the generalization to scheme theory of the notion of function field of an algebraic variety in classical algebraic geometry. In the case of varieties, such a sheaf associates to each open set U the ring of all rational functions on that open set; in other words, KX(U) is the set of fractions of regular functions on U. Despite its name, KX does not always give a field for a general scheme X.
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Function field (scheme theory)
The sheaf of rational functions KX of a scheme X is the generalization to scheme theory of the notion of function field of an algebraic variety in classical algebraic geometry. In the case of varieties, such a sheaf associates to each open set U the ring of all rational functions on that open set; in other words, KX(U) is the set of fractions of regular functions on U. Despite its name, KX does not always give a field for a general scheme X.
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Em geometria algébrica, o corp ...... corpo para um esquema geral X.
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The sheaf of rational function ...... field for a general scheme X.
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スキーム X の有理函数体の層(sheaf of ratio ...... スキームの場合には、KX は、必ずしも体であるとは限らない。
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October 2017
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Em geometria algébrica, o corp ...... corpo para um esquema geral X.
@pt
The sheaf of rational function ...... field for a general scheme X.
@en
スキーム X の有理函数体の層(sheaf of ratio ...... スキームの場合には、KX は、必ずしも体であるとは限らない。
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Corpo de funções (teoria de esquemas)
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Function field (scheme theory)
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函数体 (スキーム論)
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