---
date: 2022-02-09 10:15
modification date: Wednesday 9th February 2022 10:15:03
title: big
aliases: [big line bundle]

---

Last modified date: <%+ tp.file.last_modified_date() %>

---
- Tags: 
	- #todo/untagged
- Refs:
	- #todo/add-references
- Links:
	- [divisor](Unsorted/divisor.md)
	- [nef divisor](Unsorted/nef%20divisor.md)

---


# big

A big line bundle $L$ on $X$ of dimension $n$ is a line bundle such that $\lim _{l \rightarrow \infty} \sup \operatorname{dim} \Gamma\left(X, L^{l}\right) / l^{n}>0$.

![](attachments/Pasted%20image%2020220211110510.png)