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单词 Algebraic Variety
释义

Algebraic Variety

A generalization to -D of Algebraic Curves. More technically, an algebraic variety is areduced Scheme of Finite type over a Field . An algebraic variety is defined as the Setof points in the Reals (or the Complex Numbers )satisfying a system of Polynomial equations for , 2, .... According to theHilbert Basis Theorem, a Finite number of equations suffices.

See also Abelian Variety, Albanese Variety, Brauer-Severi Variety, Chow Variety,Picard Variety
References

Ciliberto, C.; Laura, E.; and Somese, A. J. (Eds.). Classification of Algebraic Varieties. Providence, RI: Amer. Math. Soc., 1994.


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