Function field:function field in nLab
function field in nLab
2022年6月5日—Afunctionfieldisthefieldoffractionsof????(X)-mathcalO}(X...numberfields(“functionfieldsofcurvesoverF1”),functionfields ...。其他文章還包含有:「abstractalgebra」、「Algebraicfunctionfield」、「FiniteFieldsandFunctionFields」、「Functionfield」、「Functionfield(schemetheory)」、「FunctionField」、「Functionfieldofanalgebraicvariety」、「Introductiontofunctionfields」
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I just opened Artin's Algebra for this question. He appears to define a function field as an extension of C(t), i.e. a function field must ...
Algebraic function field
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In mathematics, an algebraic function field of n variables over a field k is a finitely generated field extension K/k which has transcendence degree n over ...
Finite Fields and Function Fields
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A function field governs the abstract algebraic aspects of an algebraic curve. Before proceeding to the geometric aspects of algebraic curves in the next ...
Function field
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Function field may refer to: Function field of an algebraic variety · Function field (scheme theory) · Algebraic function field · Function field sieve ...
Function field (scheme theory)
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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 ...
Function Field
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Function fields are sometimes called algebraic function fields ... Function Field. A finite extension K=Q(z)(w) of the field Q(z) of rational ...
Function field of an algebraic variety
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In algebraic geometry, the function field of an algebraic variety V consists of objects which are interpreted as rational functions on V. In classical ...
Introduction to function fields
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