I find this concept in Kollar and Mori's book {\em Birational Geometry of Algebraic Varieties}, but cant search the precise definition in the book or google. Can you tell me the definition? Thanks for any comments or references.



What is the definition of a sufficiently ample line bundle?
There are many theorems of the form



> 
> **Theorem Frame**
>  If something holds and $\mathscr L$ is an ample line bundle, then there exists an $n\_0\in \mathbb N$ such that for all $n\geq n\_0$, something else holds with $\mathscr L^{\otimes n}$ in it.
> 
> 
> 


You should think of things like 


* a sheaf being generated by global sections
* Serre vanishing
* transversality statements
* avoiding certain points or properties
* etc.


*Sufficiently ample* means that whatever they are claiming holds for $\mathscr L^{\otimes n}$ for all $n\geq n\_0$ with some $n\_0\in \mathbb N$ for any ample line bundle $\mathscr L$.


