---
date: 2022-04-05 23:42
modification date: Tuesday 5th April 2022 23:42:25
title: "Hodge index theorem"
aliases: [Hodge index theorem]
---

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# Hodge index theorem

![](attachments/Pasted%20image%2020220424184839.png)

![](attachments/Pasted%20image%2020220211110104.png)

Proof: [Riemann-Roch](Unsorted/Riemann-Roch.md) for surfaces.

# Corollaries
![](attachments/Pasted%20image%2020220211110141.png)