1
Introduction
2
Definitions
▶
2.1
Base category
2.2
Small Extensions
2.3
Completed base category
2.4
Trivial Square-Zero Extensions
2.5
Artin Functors
2.6
Schlessinger’s conditions
3
Schlessinger’s theorem
4
Lemmas
▶
4.1
Essential morphisms
4.2
Action of a small extension
4.3
Topology
5
Proof
▶
5.1
Existence of a hull
5.2
Necessity of the conditions
5.3
Pro-representability
6
Remaining
sorry
’s
7
Bibliography
Dependency graph
Schlessinger’s criterion
ybenmeur
1
Introduction
2
Definitions
2.1
Base category
2.2
Small Extensions
2.3
Completed base category
2.4
Trivial Square-Zero Extensions
2.5
Artin Functors
2.6
Schlessinger’s conditions
3
Schlessinger’s theorem
4
Lemmas
4.1
Essential morphisms
4.2
Action of a small extension
4.3
Topology
5
Proof
5.1
Existence of a hull
5.2
Necessity of the conditions
5.3
Pro-representability
6
Remaining
sorry
’s
7
Bibliography