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date: 2022-02-01 13:56 modification date: Saturday 12th February 2022 21:36:15 title: deformation aliases: [deformation, desingularization]
Tags: #higher-algebra/stacks Refs: crepant resolution
- Tags
- Refs:
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Links:
- stacks MOC
- dg Lie algebras
- Serre-Tate theory
deformation
Motivations
Definitions
For Schemes
- Let $Y \subseteq X \in {\mathsf{Sch}}_{/ {k}} $ be a closed subscheme. A deformation of \(Y\) over \(D\) in \(X\) is a closed subscheme \(Y^{\prime} \subseteq X^{\prime}=X \times D\), flat over \(D\), such that \(Y^{\prime} \times_{D} k=Y\). Goal: classify all deformations of \(Y\) over \(D\).
Examples
