##  [Blowup Construction](/blowup-construction) 

  ##  [Blowup Construction](https://algebra.quantumdictionary.io/blowup-construction-0) 

  

 [![Algebra](/sites/default/files/styles/large/public/2026-01/Algebra.png.webp?itok=3pHxBnUF)](/topic-specific-dictionaries/pure-mathematics/algebra)

- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A geometric-algebraic construction that replaces a chosen subobject (subscheme, subvariety, or subspace) by the projectivized normal cone (exceptional divisor) to separate intersections, resolve singularities, or produce controlled modifications of the ambient space.