37 More on Morphisms
Chapter 37 of the Stacks Project, More on Morphisms, Tag 02GX: the 79 sections of its 81 with a tag that a declaration carries, one article each, in the Stacks Project's order. Their 516 tags are carried by 1,224 declarations of the repository (all in StacksFrontier) and 45 registered declarations.
37.2 Thickenings to 37.11 Formally smooth morphisms
- 37.2 Thickenings
- 37.3 Morphisms of thickenings
- 37.4 Picard groups of thickenings
- 37.5 Infinitesimal neighbourhoods
- 37.6 Formally unramified morphisms
- 37.7 Universal first order thickenings
- 37.8 Formally étale morphisms
- 37.9 Infinitesimal deformations of maps
- 37.10 Infinitesimal deformations of schemes
- 37.11 Formally smooth morphisms
37.12 Smoothness over a… to 37.27 Irreducible components of…
- 37.12 Smoothness over a Noetherian base
- 37.13 The naive cotangent complex
- 37.14 Pushouts in the category of schemes, I
- 37.15 Openness of the flat locus
- 37.16 Critère de platitude par fibres
- 37.17 Closed immersions between smooth schemes
- 37.18 Flat modules and relative assassins
- 37.19 Normalization revisited
- 37.20 Normal morphisms
- 37.21 Regular morphisms
- 37.22 Cohen-Macaulay morphisms
- 37.23 Slicing Cohen-Macaulay morphisms
- 37.24 Generic fibres
- 37.25 Relative assassins
- 37.26 Reduced fibres
- 37.27 Irreducible components of fibres
37.28 Connected components of… to 37.45 Applications of Zariski's…
- 37.28 Connected components of fibres
- 37.29 Connected components meeting a section
- 37.30 Dimension of fibres
- 37.31 Weak relative Noether normalization
- 37.32 Bertini theorems
- 37.33 Theorem of the cube
- 37.34 Limit arguments
- 37.35 Étale neighbourhoods
- 37.36 Étale neighbourhoods and branches
- 37.37 Unramified and étale morphisms
- 37.38 Slicing smooth morphisms
- 37.39 Étale neighbourhoods and Artin approximation
- 37.40 Finite free locally dominates étale
- 37.41 Étale localization of quasi-finite morphisms
- 37.42 Étale localization of integral morphisms
- 37.43 Zariski's Main Theorem
- 37.44 Applications of Zariski's Main Theorem, I
- 37.45 Applications of Zariski's Main Theorem, II
37.46 Application to morphisms… to 37.52 Closed points in fibres
- 37.46 Application to morphisms with connected fibres
- 37.47 Application to the structure of finite type morphisms
- 37.48 Application to the fppf topology
- 37.49 Quasi-projective schemes
- 37.50 Projective schemes
- 37.51 Proj and Spec
- 37.52 Closed points in fibres
37.53 Stein factorization to 37.67 Pushouts in the category…
- 37.53 Stein factorization
- 37.54 Generic flatness stratification
- 37.55 Stratifying a morphism
- 37.56 Improving morphisms of relative dimension one
- 37.57 Descending separated locally quasi-finite morphisms
- 37.58 Relative finite presentation
- 37.59 Relative pseudo-coherence
- 37.60 Pseudo-coherent morphisms
- 37.61 Perfect morphisms
- 37.62 Local complete intersection morphisms
- 37.64 Weakly étale morphisms
- 37.65 Reduced fibre theorem
- 37.66 Ind-quasi-affine morphisms
- 37.67 Pushouts in the category of schemes, II
37.68 Relative morphisms to 37.81 The extensive criterion…
- 37.68 Relative morphisms
- 37.69 Characterizing pseudo-coherent complexes, III
- 37.70 Descent finiteness properties of complexes
- 37.71 Relatively perfect objects
- 37.72 Contracting rational curves
- 37.73 Affine stratifications
- 37.74 Universally open morphisms
- 37.75 Weightings
- 37.76 More on weightings
- 37.77 Weightings and affine stratification numbers
- 37.78 Completely decomposed morphisms
- 37.79 Families of ample invertible modules
- 37.80 Blowing up and ample families of invertible modules
- 37.81 The extensive criterion for closed immersions
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