##  [Line Bundle](/line-bundle) 

  ##  [Line Bundle](https://mathlogic.quantumdictionary.io/line-bundle-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 & Formal Sciences -

**Mathematics & Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A rank‑one locally free sheaf or a fiber bundle whose fibers are one‑dimensional vector spaces, providing the geometric vehicle for twisting sections and defining invertible sheaves on schemes or vector bundles of rank one in topology.