Field of definition

id: field-of-definition-245-338833
title: Field of definition
text: 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.
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Field_of_definition
date created:
date modified: 2024-04-13T07:27:45Z
main entity: {"identifier":"Q5447109","url":"https://www.wikidata.org/entity/Q5447109"}
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