##  [Arithmetic Geometry](/arithmetic-geometry) 

  ##  [Arithmetic Geometry](https://puremath.quantumdictionary.io/arithmetic-geometry-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The field that applies techniques of algebraic geometry to arithmetic problems: studying solutions of polynomial equations over rings and fields of arithmetic interest (number fields, finite fields, p‑adic fields) and the arithmetic structure of algebraic varieties.