---
date: 2022-04-15 13:14
modification date: Friday 15th April 2022 13:14:49
title: "linear system"
aliases: [linear system, pencil, linear series, net, web, base locus, linear series, linear systems]
---

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

---
- Tags: 
	- #todo/untagged
- Refs:
	- #todo/add-references
- Links:
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# linear system

![](attachments/Pasted%20image%2020220415131456.png)

![](attachments/Pasted%20image%2020220521163907.png)

$$
\mcl \in \Pic(X) \leadsto\abs{L} \da \PP H^0(X; \mcl) \cong \ts{D \in \Div(X) \st D\geq 0 \text{ and } D\sim L}
$$