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geometry > algebraic geometry > algebraic variety > function field of an algebraic variety

Preferred term

function field of an algebraic variety  

Definition

  • In algebraic geometry, the function field of an algebraic variety V consists of objects that are interpreted as rational functions on V. In classical algebraic geometry they are ratios of polynomials; in complex geometry these are meromorphic functions and their higher-dimensional analogues; in modern algebraic geometry they are elements of some quotient ring's field of fractions.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Function_field_of_an_algebraic_variety)

Broader concept

URI

http://data.loterre.fr/ark:/67375/PSR-S4L6302R-R

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