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.   Algebraic Curvesonlinetexpdf
47.   Resolution of Surfacesonlinetexpdf
48.   Semistable Reductiononlinetexpdf
49.   Fundamental Groups of Schemesonlinetexpdf
50.   Étale Cohomologyonlinetexpdf
51.   Crystalline Cohomologyonlinetexpdf
52.   Pro-étale Cohomologyonlinetexpdf
Algebraic Spaces
53.   Algebraic Spacesonlinetexpdf
54.   Properties of Algebraic Spacesonlinetexpdf
55.   Morphisms of Algebraic Spacesonlinetexpdf
56.   Decent Algebraic Spacesonlinetexpdf
57.   Cohomology of Algebraic Spacesonlinetexpdf
58.   Limits of Algebraic Spacesonlinetexpdf
59.   Divisors on Algebraic Spacesonlinetexpdf
60.   Algebraic Spaces over Fieldsonlinetexpdf
61.   Topologies on Algebraic Spacesonlinetexpdf
62.   Descent and Algebraic Spacesonlinetexpdf
63.   Derived Categories of Spacesonlinetexpdf
64.   More on Morphisms of Spacesonlinetexpdf
65.   Pushouts of Algebraic Spacesonlinetexpdf
66.   Groupoids in Algebraic Spacesonlinetexpdf
67.   More on Groupoids in Spacesonlinetexpdf
68.   Bootstraponlinetexpdf
Topics in Geometry
69.   Quotients of Groupoidsonlinetexpdf
70.   Simplicial Spacesonlinetexpdf
71.   Formal Algebraic Spacesonlinetexpdf
72.   Restricted Power Seriesonlinetexpdf
73.   Resolution of Surfaces Revisitedonlinetexpdf
Deformation Theory
74.   Formal Deformation Theoryonlinetexpdf
75.   Deformation Theoryonlinetexpdf
76.   The Cotangent Complexonlinetexpdf
Algebraic Stacks
77.   Algebraic Stacksonlinetexpdf
78.   Examples of Stacksonlinetexpdf
79.   Sheaves on Algebraic Stacksonlinetexpdf
80.   Criteria for Representabilityonlinetexpdf
81.   Artin's axiomsonlinetexpdf
82.   Quot and Hilbert Spacesonlinetexpdf
83.   Properties of Algebraic Stacksonlinetexpdf
84.   Morphisms of Algebraic Stacksonlinetexpdf
85.   Limits of Algebraic Stacksonlinetexpdf
86.   Cohomology of Algebraic Stacksonlinetexpdf
87.   Derived Categories of Stacksonlinetexpdf
88.   Introducing Algebraic Stacksonlinetexpdf
89.   More on Morphisms of Stacksonlinetexpdf
Miscellany
90.   Examplesonlinetexpdf
91.   Exercisesonlinetexpdf
92.   A Guide to the Literatureonlinetexpdf
93.   Desirablesonlinetexpdf
94.   Coding Styleonlinetexpdf
95.   Obsoleteonlinetexpdf
96.   GNU Free Documentation Licenseonlinetexpdf
97.   Auto generated indexpdf
98.   Bibliographyonlinetexpdf