The Stacks Project


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PartChapteronlineTeX sourceview pdf
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.   Flatness on Algebraic Spacesonlinetexpdf
67.   Groupoids in Algebraic Spacesonlinetexpdf
68.   More on Groupoids in Spacesonlinetexpdf
69.   Bootstraponlinetexpdf
Topics in Geometry
70.   Quotients of Groupoidsonlinetexpdf
71.   More on Cohomology of Spacesonlinetexpdf
72.   Simplicial Spacesonlinetexpdf
73.   Formal Algebraic Spacesonlinetexpdf
74.   Restricted Power Seriesonlinetexpdf
75.   Resolution of Surfaces Revisitedonlinetexpdf
Deformation Theory
76.   Formal Deformation Theoryonlinetexpdf
77.   Deformation Theoryonlinetexpdf
78.   The Cotangent Complexonlinetexpdf
Algebraic Stacks
79.   Algebraic Stacksonlinetexpdf
80.   Examples of Stacksonlinetexpdf
81.   Sheaves on Algebraic Stacksonlinetexpdf
82.   Criteria for Representabilityonlinetexpdf
83.   Artin's axiomsonlinetexpdf
84.   Quot and Hilbert Spacesonlinetexpdf
85.   Properties of Algebraic Stacksonlinetexpdf
86.   Morphisms of Algebraic Stacksonlinetexpdf
87.   Limits of Algebraic Stacksonlinetexpdf
88.   Cohomology of Algebraic Stacksonlinetexpdf
89.   Derived Categories of Stacksonlinetexpdf
90.   Introducing Algebraic Stacksonlinetexpdf
91.   More on Morphisms of Stacksonlinetexpdf
Miscellany
92.   Examplesonlinetexpdf
93.   Exercisesonlinetexpdf
94.   A Guide to the Literatureonlinetexpdf
95.   Desirablesonlinetexpdf
96.   Coding Styleonlinetexpdf
97.   Obsoleteonlinetexpdf
98.   GNU Free Documentation Licenseonlinetexpdf
99.   Auto generated indexpdf
100.   Bibliographyonlinetexpdf