 ##  [Tropical Geometry](/tropical-geometry) 

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

  
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- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 
Definition

A piecewise-linear analogue of algebraic geometry obtained by replacing classical algebraic operations with the tropical (min-plus or max-plus) semiring; it studies tropicalizations of varieties as polyhedral complexes that capture combinatorial and valuation-theoretic shadows of algebraic varieties.