---
created: 2022-02-09T11:45
updated: 2023-03-31T12:37
title: degeneration
aliases: [degeneration]
---

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- Tags: 
	- #todo/untagged
- Refs:
	- #todo/add-references
- Links:
	- [deformation](deformation.md)

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# degeneration

- Idea: degenerating is passing from the [generic fiber](Unsorted/special%20fiber.md) to the [special fiber](Unsorted/central%20fiber.md).
- $X\in \Sch$ **degenerates** to $X_0$ iff there is a morphism $Y\to \AA^1$ with generic fiber $X$ and special fiber $X_0$.
- See [dual complex](dual%20complex.md) and [[Tits building]].