---
date: 2022-02-23 18:45
modification date: Sunday 3rd April 2022 17:31:42
title: "tautological bundle"
aliases: [tautological bundle]

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- Refs:
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# tautological bundle

## Definition

- Over $\CP^n$, given by $\OO(-1)$ sending each point $x\in \CP^n$ to the line it spans in $\CC^{n+1}$.
- Set $\OO(1) \da \OO(-1)\dual$
-  Set $\OO(n) \da \OO(1)^{\tensor n}$


![](attachments/Pasted%20image%2020220403173126.png)

# Exercises

![](attachments/Pasted%20image%2020210613124247.png)

![](attachments/Pasted%20image%2020220914202225.png)