---
date: 2022-03-18 15:48
modification date: Friday 18th March 2022 15:48:59
title: intersection theory
aliases: [intersection theory]

---


---

- Tags 
	- #todo/untagged
- Refs:
	- Fulton
	- 3264 and All That
- Links:
	- [excess intersection](excess%20intersection)
	- [specialization to the normal cone](specialization%20to%20the%20normal%20cone)
	- [moving lemma](moving%20lemma)
	- [cohomology and base change](cohomology%20and%20base%20change)
	- [Brill-Noether theorem](Unsorted/Brill-Noether%20theorem.md)
	- [linear system](Unsorted/linear%20system.md)
	- [Krull's principal ideal theorem](Unsorted/Krull's%20principal%20ideal%20theorem.md)
	- [Bertini's theorem](Bertini's%20theorem.md)
	- [enumerative geometry](enumerative%20geometry.md)

---

# intersection theory

Warning: does not work in [nonarchimedean](Unsorted/nonarchimedean.md) geometry or complex analytic geometry.
Problems: not enough cycles for a [moving lemma](moving%20lemma.md), and not enough [Chern classes](Unsorted/Chern%20class.md)

![](attachments/Pasted%20image%2020220415130554.png)