Function field:Finite Fields and Function Fields

Finite Fields and Function Fields

Finite Fields and Function Fields

Afunctionfieldgovernstheabstractalgebraicaspectsofanalgebraiccurve.Beforeproceedingtothegeometricaspectsofalgebraiccurvesinthenext ...。其他文章還包含有:「abstractalgebra」、「Algebraicfunctionfield」、「Functionfield」、「Functionfield(schemetheory)」、「FunctionField」、「functionfieldinnLab」、「Functionfieldofanalgebraicvariety」、「Introductiontofunctionfields」

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abstract algebra
abstract algebra

https://math.stackexchange.com

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 ...

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Algebraic function field
Algebraic function field

https://en.wikipedia.org

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 ...

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Function field
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 ...

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Function field (scheme theory)
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 ...

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Function Field
Function Field

https://mathworld.wolfram.com

Function fields are sometimes called algebraic function fields ... Function Field. A finite extension K=Q(z)(w) of the field Q(z) of rational ...

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function field in nLab
function field in nLab

https://ncatlab.org

A function field is the field of fractions of ???? ( X ) -mathcalO}(X ... number fields (“function fields of curves over F1”), function fields ...

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Function field of an algebraic variety
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 ...

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Introduction to function fields
Introduction to function fields

https://www.newton.ac.uk