##  [Cartier Duality](/cartier-duality) 

  ##  [Cartier Duality](https://algebra.quantumdictionary.io/cartier-duality-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A duality theory for finite commutative group schemes over a base that assigns to a finite commutative group scheme G its Cartier dual G^D, typically the group scheme of homomorphisms from G to the multiplicative group scheme, yielding an anti‑equivalence on the category of finite commutative flat group schemes under suitable hypotheses.