The Stacks Project


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Preliminaries
1.   Introductiononlinetexpdf
2.   Conventionsonlinetexpdf
3.   Set Theoryonlinetexpdf
4.   Categoriesonlinetexpdf
5.   Topologyonlinetexpdf
6.   Sheaves on Spacesonlinetexpdf
7.   Sites and Sheavesonlinetexpdf
8.   Stacksonlinetexpdf
9.   Fieldsonlinetexpdf
10.   Commutative Algebraonlinetexpdf
11.   Brauer groupsonlinetexpdf
12.   Homological Algebraonlinetexpdf
13.   Derived Categoriesonlinetexpdf
14.   Simplicial Methodsonlinetexpdf
15.   More on Algebraonlinetexpdf
16.   Smoothing Ring Mapsonlinetexpdf
17.   Sheaves of Modulesonlinetexpdf
18.   Modules on Sitesonlinetexpdf
19.   Injectivesonlinetexpdf
20.   Cohomology of Sheavesonlinetexpdf
21.   Cohomology on Sitesonlinetexpdf
22.   Differential Graded Algebraonlinetexpdf
23.   Divided Power Algebraonlinetexpdf
24.   Hypercoveringsonlinetexpdf
Schemes
25.   Schemesonlinetexpdf
26.   Constructions of Schemesonlinetexpdf
27.   Properties of Schemesonlinetexpdf
28.   Morphisms of Schemesonlinetexpdf
29.   Cohomology of Schemesonlinetexpdf
30.   Divisorsonlinetexpdf
31.   Limits of Schemesonlinetexpdf
32.   Varietiesonlinetexpdf
33.   Topologies on Schemesonlinetexpdf
34.   Descentonlinetexpdf
35.   Derived Categories of Schemesonlinetexpdf
36.   More on Morphismsonlinetexpdf
37.   More on Flatnessonlinetexpdf
38.   Groupoid Schemesonlinetexpdf
39.   More on Groupoid Schemesonlinetexpdf
40.   Étale Morphisms of Schemesonlinetexpdf
Topics in Scheme Theory
41.   Chow Homology and Chern Classesonlinetexpdf
42.   Intersection Theoryonlinetexpdf
43.   Picard Schemes of Curvesonlinetexpdf
44.   Adequate Modulesonlinetexpdf
45.   Dualizing Complexesonlinetexpdf
46.   Duality for Schemesonlinetexpdf
47.   Discriminants and Differentsonlinetexpdf
48.   Local Cohomologyonlinetexpdf
49.   Algebraic Curvesonlinetexpdf
50.   Resolution of Surfacesonlinetexpdf
51.   Semistable Reductiononlinetexpdf
52.   Fundamental Groups of Schemesonlinetexpdf
53.   Étale Cohomologyonlinetexpdf
54.   Crystalline Cohomologyonlinetexpdf
55.   Pro-étale Cohomologyonlinetexpdf
Algebraic Spaces
56.   Algebraic Spacesonlinetexpdf
57.   Properties of Algebraic Spacesonlinetexpdf
58.   Morphisms of Algebraic Spacesonlinetexpdf
59.   Decent Algebraic Spacesonlinetexpdf
60.   Cohomology of Algebraic Spacesonlinetexpdf
61.   Limits of Algebraic Spacesonlinetexpdf
62.   Divisors on Algebraic Spacesonlinetexpdf
63.   Algebraic Spaces over Fieldsonlinetexpdf
64.   Topologies on Algebraic Spacesonlinetexpdf
65.   Descent and Algebraic Spacesonlinetexpdf
66.   Derived Categories of Spacesonlinetexpdf
67.   More on Morphisms of Spacesonlinetexpdf
68.   Flatness on Algebraic Spacesonlinetexpdf
69.   Groupoids in Algebraic Spacesonlinetexpdf
70.   More on Groupoids in Spacesonlinetexpdf
71.   Bootstraponlinetexpdf
72.   Pushouts of Algebraic Spacesonlinetexpdf
Topics in Geometry
73.   Chow Groups of Spacesonlinetexpdf
74.   Quotients of Groupoidsonlinetexpdf
75.   More on Cohomology of Spacesonlinetexpdf
76.   Simplicial Spacesonlinetexpdf
77.   Duality for Spacesonlinetexpdf
78.   Formal Algebraic Spacesonlinetexpdf
79.   Restricted Power Seriesonlinetexpdf
80.   Resolution of Surfaces Revisitedonlinetexpdf
Deformation Theory
81.   Formal Deformation Theoryonlinetexpdf
82.   Deformation Theoryonlinetexpdf
83.   The Cotangent Complexonlinetexpdf
84.   Deformation Problemsonlinetexpdf
Algebraic Stacks
85.   Algebraic Stacksonlinetexpdf
86.   Examples of Stacksonlinetexpdf
87.   Sheaves on Algebraic Stacksonlinetexpdf
88.   Criteria for Representabilityonlinetexpdf
89.   Artin's axiomsonlinetexpdf
90.   Quot and Hilbert Spacesonlinetexpdf
91.   Properties of Algebraic Stacksonlinetexpdf
92.   Morphisms of Algebraic Stacksonlinetexpdf
93.   Limits of Algebraic Stacksonlinetexpdf
94.   Cohomology of Algebraic Stacksonlinetexpdf
95.   Derived Categories of Stacksonlinetexpdf
96.   Introducing Algebraic Stacksonlinetexpdf
97.   More on Morphisms of Stacksonlinetexpdf
98.   The Geometry of Algebraic Stacksonlinetexpdf
Topics in Moduli Theory
99.   Moduli Stacksonlinetexpdf
100.   Moduli of Curvesonlinetexpdf
Miscellany
101.   Examplesonlinetexpdf
102.   Exercisesonlinetexpdf
103.   A Guide to the Literatureonlinetexpdf
104.   Desirablesonlinetexpdf
105.   Coding Styleonlinetexpdf
106.   Obsoleteonlinetexpdf
107.   GNU Free Documentation Licenseonlinetexpdf
108.   Auto generated indexpdf
109.   Bibliographyonlinetexpdf