90 Formal Deformation Theory
Chapter 90 of the Stacks Project, Formal Deformation Theory, Tag 06G7: the 27 sections of its 29 with a tag that a declaration carries, one article each, in the Stacks Project's order. Their 194 tags are carried by 419 declarations of the repository (all in StacksFrontier) and 32 registered declarations.
90.3 The base category to 90.15 Miniversal formal objects…
- 90.3 The base category
- 90.4 The completed base category
- 90.5 Categories cofibered in groupoids
- 90.6 Prorepresentable functors and predeformation categories
- 90.7 Formal objects and completion categories
- 90.8 Smooth morphisms
- 90.9 Smooth or unobstructed categories
- 90.10 Schlessinger's conditions
- 90.11 Tangent spaces of functors
- 90.12 Tangent spaces of predeformation categories
- 90.13 Versal formal objects
- 90.14 Minimal versal formal objects
- 90.15 Miniversal formal objects and tangent spaces
90.16 Rim-Schlessinger… to 90.29 Change of residue field
- 90.16 Rim-Schlessinger conditions and deformation categories
- 90.17 Lifts of objects
- 90.18 Schlessinger's theorem on prorepresentable functors
- 90.19 Infinitesimal automorphisms
- 90.20 Applications
- 90.21 Groupoids in functors on an arbitrary category
- 90.22 Groupoids in functors on the base category
- 90.23 Smooth groupoids in functors on the base category
- 90.24 Deformation categories as quotients of groupoids in functors
- 90.25 Presentations of categories cofibered in groupoids
- 90.26 Presentations of deformation categories
- 90.27 Remarks regarding minimality
- 90.28 Uniqueness of versal rings
- 90.29 Change of residue field
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