Let k be an algebraically closed field and a be a commutative associative algebra with an identity element 1 设a是代数闭域k上具有单位元1的交换结合代数， d是由a的可交换的k -导子所张成的k -线性空间。
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This course covers the fundamental notions and results about algebraic varieties over an algebraically closed field . it also analyzes the relations between complex algebraic varieties and complex analytic varieties 本课程包括了代数闭域上代数簇的基本概念和结果，同时也讨论了复代数簇和复解析簇之间的关系。
