Statistics for tag 00DV
| tag creation | last update | |
|---|---|---|
| Jun 11, 2008 | Jun 29, 2021 | more history |
Complexity measure
| metric | value |
|---|---|
| number of results in proof | 3 |
| number of results used in preliminary results | 5 |
| number of chapters used | 3 |
| number of sections used | 3 |
| number of results (indirectly) using this tag | 6817 |
Tags (directly) using this result
- Lemma 10.20.2
in Section 10.20: Nakayama's lemma
(go to statistics) - Lemma 10.20.3
in Section 10.20: Nakayama's lemma
(go to statistics) - Lemma 10.21.5
in Section 10.21: Open and closed subsets of spectra
(go to statistics) - Lemma 10.36.17
in Section 10.36: Finite and integral ring extensions
(go to statistics) - Lemma 10.40.6
in Section 10.40: Supports and annihilators
(go to statistics) - Lemma 10.40.8
in Section 10.40: Supports and annihilators
(go to statistics) - Lemma 10.40.9
in Section 10.40: Supports and annihilators
(go to statistics) - Lemma 10.41.12
in Section 10.41: Going up and going down
(go to statistics) - Lemma 10.51.4
in Section 10.51: More Noetherian rings
(go to statistics) - Lemma 10.53.4
in Section 10.53: Artinian rings
(go to statistics) - Lemma 10.55.8
in Section 10.55: K-groups
(go to statistics) - Lemma 10.66.19
in Section 10.66: Weakly associated primes
(go to statistics) - Lemma 10.68.4
in Section 10.68: Regular sequences
(go to statistics) - Lemma 10.72.2
in Section 10.72: Depth
(go to statistics) - Lemma 10.78.2
in Section 10.78: Finite projective modules
(go to statistics) - Lemma 10.78.3
in Section 10.78: Finite projective modules
(go to statistics) - Lemma 10.78.5
in Section 10.78: Finite projective modules
(go to statistics) - Lemma 10.78.8
in Section 10.78: Finite projective modules
(go to statistics) - Lemma 10.79.1
in Section 10.79: Open loci defined by module maps
(go to statistics) - Lemma 10.96.1
in Section 10.96: Completion
(go to statistics) - Lemma 10.97.10
in Section 10.97: Completion for Noetherian rings
(go to statistics) - Lemma 10.99.4
in Section 10.99: Criteria for flatness
(go to statistics) - Lemma 10.99.15
in Section 10.99: Criteria for flatness
(go to statistics) - Lemma 10.101.1
in Section 10.101: Flatness criteria over Artinian rings
(go to statistics) - Lemma 10.101.3
in Section 10.101: Flatness criteria over Artinian rings
(go to statistics) - Lemma 10.101.7
in Section 10.101: Flatness criteria over Artinian rings
(go to statistics) - Lemma 10.103.2
in Section 10.103: Cohen-Macaulay modules
(go to statistics) - Lemma 10.106.5
in Section 10.106: Regular local rings
(go to statistics) - Lemma 10.108.6
in Section 10.108: Pure ideals
(go to statistics) - Lemma 10.110.3
in Section 10.110: Regular rings and global dimension
(go to statistics) - Lemma 10.126.8
in Section 10.126: Algebras and modules of finite presentation
(go to statistics) - Lemma 10.126.10
in Section 10.126: Algebras and modules of finite presentation
(go to statistics) - Lemma 10.135.4
in Section 10.135: Local complete intersections
(go to statistics) - Lemma 10.135.10
in Section 10.135: Local complete intersections
(go to statistics) - Lemma 10.135.12
in Section 10.135: Local complete intersections
(go to statistics) - Lemma 10.136.6
in Section 10.136: Syntomic morphisms
(go to statistics) - Lemma 10.136.15
in Section 10.136: Syntomic morphisms
(go to statistics) - Lemma 10.137.5
in Section 10.137: Smooth ring maps
(go to statistics) - Lemma 10.140.3
in Section 10.140: Smooth algebras over fields
(go to statistics) - Lemma 10.140.7
in Section 10.140: Smooth algebras over fields
(go to statistics) - Lemma 10.143.9
in Section 10.143: Étale ring maps
(go to statistics) - Proposition 10.144.4
in Section 10.144: Local structure of étale ring maps
(go to statistics) - Lemma 10.149.5
in Section 10.149: Conormal modules and universal thickenings
(go to statistics) - Lemma 10.151.3
in Section 10.151: Unramified ring maps
(go to statistics) - Proposition 10.152.1
in Section 10.152: Local structure of unramified ring maps
(go to statistics) - Lemma 10.152.2
in Section 10.152: Local structure of unramified ring maps
(go to statistics) - Lemma 10.152.3
in Section 10.152: Local structure of unramified ring maps
(go to statistics) - Lemma 10.153.3
in Section 10.153: Henselian local rings
(go to statistics) - Lemma 10.153.8
in Section 10.153: Henselian local rings
(go to statistics) - Lemma 15.3.5
in Section 15.3: Stably free modules
(go to statistics) - Lemma 15.8.4
in Section 15.8: Fitting ideals
(go to statistics) - Lemma 15.8.7
in Section 15.8: Fitting ideals
(go to statistics) - Lemma 15.8.9
in Section 15.8: Fitting ideals
(go to statistics) - Lemma 15.9.14
in Section 15.9: Lifting
(go to statistics) - Lemma 15.10.4
in Section 15.10: Zariski pairs
(go to statistics) - Lemma 15.13.1
in Section 15.13: Lifting and henselian pairs
(go to statistics) - Lemma 15.13.2
in Section 15.13: Lifting and henselian pairs
(go to statistics) - Lemma 15.24.3
in Section 15.24: Content ideals
(go to statistics) - Lemma 15.25.3
in Section 15.25: Flatness and finiteness conditions
(go to statistics) - Lemma 15.32.4
in Section 15.32: Regular ideals
(go to statistics) - Lemma 15.69.6
in Section 15.69: Injective dimension
(go to statistics) - Lemma 15.75.3
in Section 15.75: Lifting complexes
(go to statistics) - Lemma 15.75.5
in Section 15.75: Lifting complexes
(go to statistics) - Lemma 15.75.9
in Section 15.75: Lifting complexes
(go to statistics) - Lemma 15.77.3
in Section 15.77: Recognizing perfect complexes
(go to statistics) - Lemma 15.78.4
in Section 15.78: Characterizing perfect complexes
(go to statistics) - Lemma 15.88.7
in Section 15.88: Torsion modules
(go to statistics) - Lemma 15.100.4
in Section 15.100: Systems of modules
(go to statistics) - Lemma 15.124.3
in Section 15.124: Structure of modules over a PID
(go to statistics) - Lemma 16.5.1
in Section 16.5: The lifting problem
(go to statistics) - Lemma 17.25.10
in Section 17.25: Invertible modules
(go to statistics) - Lemma 23.8.3
in Section 23.8: Local complete intersection rings
(go to statistics) - Lemma 23.10.1
in Section 23.10: Smooth ring maps and diagonals
(go to statistics) - Lemma 23.11.1
in Section 23.11: Freeness of the conormal module
(go to statistics) - Proposition 23.11.3
in Section 23.11: Freeness of the conormal module
(go to statistics) - Lemma 27.22.1
in Section 27.22: Grassmannians
(go to statistics) - Lemma 29.5.3
in Section 29.5: Supports of modules
(go to statistics) - Lemma 29.26.4
in Section 29.26: Flat closed immersions
(go to statistics) - Lemma 29.34.14
in Section 29.34: Smooth morphisms
(go to statistics) - Lemma 29.35.14
in Section 29.35: Unramified morphisms
(go to statistics) - Lemma 29.45.7
in Section 29.45: Universal homeomorphisms
(go to statistics) - Lemma 29.57.4
in Section 29.57: Universally bounded fibres
(go to statistics) - Lemma 30.20.8
in Section 30.20: The theorem on formal functions
(go to statistics) - Lemma 30.20.9
in Section 30.20: The theorem on formal functions
(go to statistics) - Lemma 30.21.3
in Section 30.21: Applications of the theorem on formal functions
(go to statistics) - Lemma 30.23.1
in Section 30.23: Coherent formal modules
(go to statistics) - Lemma 30.23.3
in Section 30.23: Coherent formal modules
(go to statistics) - Lemma 31.18.5
in Section 31.18: Relative effective Cartier divisors
(go to statistics) - Lemma 31.20.4
in Section 31.20: Regular ideal sheaves
(go to statistics) - Lemma 33.18.4
in Section 33.18: Variants of Noether normalization
(go to statistics) - Lemma 35.7.4
in Section 35.7: Descent of finiteness properties of modules
(go to statistics) - Lemma 37.3.3
in Section 37.3: Morphisms of thickenings
(go to statistics) - Lemma 37.3.4
in Section 37.3: Morphisms of thickenings
(go to statistics) - Lemma 37.10.3
in Section 37.10: Infinitesimal deformations of schemes
(go to statistics) - Lemma 37.16.7
in Section 37.16: Critère de platitude par fibres
(go to statistics) - Lemma 37.72.5
in Section 37.72: Contracting rational curves
(go to statistics) - Lemma 38.4.9
in Section 38.4: One step dévissage
(go to statistics) - Lemma 38.10.1
in Section 38.10: Flat finite type modules, Part I
(go to statistics) - Theorem 38.13.6
in Section 38.13: Flat finite type modules, Part II
(go to statistics) - Lemma 38.14.3
in Section 38.14: Examples of relatively pure modules
(go to statistics) - Lemma 38.25.6
in Section 38.25: Variants of a lemma
(go to statistics) - Lemma 38.29.2
in Section 38.29: Grothendieck's Existence Theorem, V
(go to statistics) - Lemma 41.3.3
in Section 41.3: Unramified morphisms
(go to statistics) - Lemma 41.7.3
in Section 41.7: Universally injective, unramified morphisms
(go to statistics) - Lemma 47.4.3
in Section 47.4: Projective covers
(go to statistics) - Lemma 47.7.7
in Section 47.7: Injective hull of the residue field
(go to statistics) - Lemma 47.16.5
in Section 47.16: Dualizing complexes over local rings
(go to statistics) - Lemma 49.6.8
in Section 49.6: The Noether different
(go to statistics) - Lemma 67.15.2
in Section 67.15: Supports of modules
(go to statistics) - Lemma 71.15.2
in Section 71.15: Relative ampleness and cohomology
(go to statistics) - Lemma 72.10.9
in Section 72.10: Schematic locus and field extension
(go to statistics) - Lemma 77.13.2
in Section 77.13: Grothendieck's Existence Theorem, bis
(go to statistics) - Lemma 87.8.5
in Section 87.8: Descending properties
(go to statistics) - Lemma 87.27.7
in Section 87.27: Closed immersions
(go to statistics) - Lemma 88.4.3
in Section 88.4: Rig-smooth algebras
(go to statistics) - Lemma 88.8.4
in Section 88.8: Rig-étale algebras
(go to statistics) - Lemma 90.3.5
in Section 90.3: The base category
(go to statistics) - Lemma 93.12.3
in Section 93.12: Deformations of completions
(go to statistics) - Lemma 93.13.1
in Section 93.13: Deformations of localizations
(go to statistics) - Lemma 93.14.1
in Section 93.14: Deformations of henselizations
(go to statistics) - Lemma 99.14.11
in Section 99.14: The stack of polarized proper schemes
(go to statistics)