“Complex algebraic variety”的意思、由来-开放百科全书

词条

Complex algebraic variety

释义

Chow's theorem
Relation with similar concepts
References

In algebraic geometry, a complex algebraic variety is an algebraic variety (in the scheme sense or otherwise) over the field of complex numbers.^[1]

Chow's theorem

{{main article|Algebraic geometry and analytic geometry#Chow's theorem|l1=Chow's theorem}}

Chow's theorem states that a projective analytic variety; i.e., a closed analytic subvariety of the complex projective space is an algebraic variety; it is usually simply referred to as a projective variety.

Relation with similar concepts

Not every complex analytic variety is algebraic, though.

References

1. ^Parshin, Alexei N., and Igor Rostislavovich Shafarevich, eds. Algebraic Geometry III: Complex Algebraic Varieties. Algebraic Curves and Their Jacobians. Vol. 3. Springer, 1998.

1 : Algebraic varieties

随便看

开放百科全书收录14589846条英语、德语、日语等多语种百科知识，基本涵盖了大多数领域的百科知识，是一部内容自由、开放的电子版国际百科全书。