Category:Definitions/Algebraic Varieties

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This category contains definitions related to Algebraic Varieties.
Related results can be found in Category:Algebraic Varieties.


An algebraic variety is the solution set of a system of simultaneous polynomial equations:

\(\ds \map {P_1} {x_1, x_2, \ldots, x_n}\) \(=\) \(\ds 0\)
\(\ds \map {P_2} {x_1, x_2, \ldots, x_n}\) \(=\) \(\ds 0\)
\(\ds \) \(\cdots\) \(\ds \)
\(\ds \map {P_k} {x_1, x_2, \ldots, x_n}\) \(=\) \(\ds 0\)

Pages in category "Definitions/Algebraic Varieties"

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