##  [Resolution of Singularities](/index.php/resolution-singularities) 

  ##  [Resolution of Singularities](https://mathlogic.quantumdictionary.io/resolution-singularities-0) 

  

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

- Natural & Formal Sciences -

**Mathematics & Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A process that produces a proper birational morphism f: X' → X from a smooth (non-singular) variety or scheme X' to a given algebraic variety or scheme X such that f is an isomorphism over the regular locus of X and X' is smooth; typically achieved by a finite sequence of blowups and controlled birational transformations.