 ##  [Descent](/descent) 

  ##  [Descent](https://mathlogic.quantumdictionary.io/descent-0) 

  
 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A method and set of conditions for reconstructing or 'descending' mathematical objects defined over an extension (cover, field, or scheme) to objects over a base by equipping the extended object with compatible descent data (e.g., Galois actions or cocycles) and checking effectiveness.