101 Morphisms of Algebraic Stacks
Chapter 101 of the Stacks Project, Morphisms of Algebraic Stacks, Tag 04XM: the 49 sections of its 51 with a tag that a declaration carries, one article each, in the Stacks Project's order. Their 281 tags are carried by 690 declarations of the repository (all in StacksFrontier) and 9 registered declarations.
101.3 Properties of diagonals to 101.6 Higher diagonals
101.7 Quasi-compact morphisms to 101.22 The Deligne-Mumford locus
- 101.7 Quasi-compact morphisms
- 101.8 Noetherian algebraic stacks
- 101.9 Affine morphisms
- 101.10 Integral and finite morphisms
- 101.11 Open morphisms
- 101.12 Submersive morphisms
- 101.13 Universally closed morphisms
- 101.14 Universally injective morphisms
- 101.15 Universal homeomorphisms
- 101.16 Types of morphisms smooth local on source-and-target
- 101.17 Morphisms of finite type
- 101.18 Points of finite type
- 101.19 Automorphism groups
- 101.20 Presentations and properties of algebraic stacks
- 101.21 Special presentations of algebraic stacks
- 101.22 The Deligne-Mumford locus
101.23 Locally quasi-finite… to 101.37 Proper morphisms
- 101.23 Locally quasi-finite morphisms
- 101.24 Quasi-finite morphisms
- 101.25 Flat morphisms
- 101.26 Flat at a point
- 101.27 Morphisms of finite presentation
- 101.28 Gerbes
- 101.29 Stratification by gerbes
- 101.30 The topological space of an algebraic stack
- 101.31 Existence of residual gerbes
- 101.32 Étale local structure
- 101.33 Smooth morphisms
- 101.34 Types of morphisms étale-smooth local on source-and-target
- 101.35 Étale morphisms
- 101.36 Unramified morphisms
- 101.37 Proper morphisms
101.38 Scheme theoretic image to 101.51 Residual gerbes
- 101.38 Scheme theoretic image
- 101.39 Valuative criteria
- 101.40 Valuative criterion for second diagonal
- 101.41 Valuative criterion for the diagonal
- 101.42 Valuative criterion for universal closedness
- 101.43 Valuative criterion for properness
- 101.44 Local complete intersection morphisms
- 101.45 Stabilizer preserving morphisms
- 101.46 Normalization
- 101.47 Points and specializations
- 101.48 Decent algebraic stacks
- 101.49 Points on decent stacks
- 101.50 Integral algebraic stacks
- 101.51 Residual gerbes
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