This article is about algebraic varieties. For the term "a variety of algebras", and an explanation of the difference between a variety of algebras and an algebraic variety, see
variety (universal algebra). In
mathematics, an algebraic variety is essentially a (finite or infinite) set of points where a
polynomial (in one or more variables) attains, or a set of such polynomials all attain, a value of zero. Algebraic varieties are one of the central objects of study in classical (and to some extent, modern)
algebraic geometry.
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