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单词 algebraic variety
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algebraic variety
algebraic variety n. Mathematics (originally) the set of solutions of a system of polynomial equations; (in later use) any of several generalizations of this to a more abstract context, esp. that developed by French mathematician Alexander Grothendieck (1928–2014).
ΚΠ
1916 Ann. Math. 17 197 Let Vr be an r-dimensional irreducible algebraic variety immersed in an (r + k) space.
1953 Amer. Jrnl. Math. 75 595 At this point we have to distinguish between the notion of an algebraic variety in the classical sense..and that of an abstract variety in the sense of Weil.
2000 M. Hindry & J. H. Silverman Diophantine Geom. a ix. 158 The smoothness of the algebraic variety X can be expressed by the nonvanishing of certain minors..of certain matrices with entries in K.
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