Concept information
Terme préférentiel
field of definition
Définition
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In mathematics, the field of definition of an algebraic variety V is essentially the smallest field to which the coefficients of the polynomials defining V can belong. Given polynomials, with coefficients in a field K, it may not be obvious whether there is a smaller field k, and other polynomials defined over k, which still define V.
The issue of field of definition is of concern in diophantine geometry.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Field_of_definition)
Concept générique
Traductions
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français
URI
http://data.loterre.fr/ark:/67375/PSR-T2QRG4K6-X
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