 ##  [Failure of Descent](/failure-descent) 

  ##  [Failure of Descent](https://algebra.quantumdictionary.io/failure-descent-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An obstruction that prevents local objects or data defined on a covering from gluing to a global object; typically detected by a nontrivial cohomology class or an ineffectivity of descent data in a chosen topology (étale, fppf, fpqc, etc.).