##  [Algebraic Variety](/algebraic-variety) 

  ##  [Algebraic Variety](https://mathlogic.quantumdictionary.io/algebraic-variety-0) 

  

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- Natural & Formal Sciences -

**Mathematics & Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A geometric object defined as the solution set of polynomial equations over a field and equipped with the Zariski topology; in classical terms often taken to be a reduced, separated scheme of finite type over a field, possibly irreducible (an integral variety) or reducible.