 ##  [Congruence Obstruction](/congruence-obstruction) 

  ##  [Congruence Obstruction](https://puremath.quantumdictionary.io/congruence-obstruction-0) 

  
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- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 
Definition

An obstruction to the existence of a global integral or rational solution arising from incompatible congruence conditions modulo some integer or modulus; local solvability modulo the modulus fails to lift to an integral/rational solution.