Statistics for tag 02KH
| tag creation | last update | |
|---|---|---|
| Jun 11, 2009 | Nov 14, 2020 | more history |
Complexity measure
| metric | value |
|---|---|
| number of results in proof | 8 |
| number of results used in preliminary results | 312 |
| number of chapters used | 19 |
| number of sections used | 107 |
| number of results (indirectly) using this tag | 2445 |
Tags (directly) using this result
- Lemma 30.20.7
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 30.25.3
in Section 30.25: Grothendieck's existence theorem, II
(go to statistics) - Lemma 31.5.9
in Section 31.5: Weakly associated points
(go to statistics) - Lemma 31.6.6
in Section 31.6: Morphisms and weakly associated points
(go to statistics) - Lemma 31.29.6
in Section 31.29: Weil divisors on normal schemes
(go to statistics) - Lemma 33.9.3
in Section 33.9: Geometrically integral schemes
(go to statistics) - Lemma 33.9.4
in Section 33.9: Geometrically integral schemes
(go to statistics) - Lemma 33.22.1
in Section 33.22: Global generation
(go to statistics) - Lemma 33.30.1
in Section 33.30: Picard groups of varieties
(go to statistics) - Lemma 33.33.4
in Section 33.33: Euler characteristics
(go to statistics) - Lemma 33.35.8
in Section 33.35: Coherent sheaves on projective space
(go to statistics) - Lemma 33.35.11
in Section 33.35: Coherent sheaves on projective space
(go to statistics) - Lemma 33.38.1
in Section 33.38: One dimensional Noetherian schemes
(go to statistics) - Lemma 33.44.2
in Section 33.44: Degrees on curves
(go to statistics) - Lemma 33.48.2
in Section 33.48: Enriques-Severi-Zariski
(go to statistics) - Proposition 35.9.4
in Section 35.9: Cohomology of quasi-coherent modules and topologies
(go to statistics) - Lemma 35.9.5
in Section 35.9: Cohomology of quasi-coherent modules and topologies
(go to statistics) - Lemma 35.23.18
in Section 35.23: Properties of morphisms local in the fpqc topology on the target
(go to statistics) - Lemma 35.23.19
in Section 35.23: Properties of morphisms local in the fpqc topology on the target
(go to statistics) - Lemma 35.23.20
in Section 35.23: Properties of morphisms local in the fpqc topology on the target
(go to statistics) - Lemma 35.23.21
in Section 35.23: Properties of morphisms local in the fpqc topology on the target
(go to statistics) - Lemma 35.25.6
in Section 35.25: Application of fpqc descent of properties of morphisms
(go to statistics) - Lemma 35.38.1
in Section 35.38: Descending quasi-affine morphisms
(go to statistics) - Lemma 36.32.8
in Section 36.32: Applications
(go to statistics) - Lemma 37.19.2
in Section 37.19: Normalization revisited
(go to statistics) - Lemma 37.33.3
in Section 37.33: Theorem of the cube
(go to statistics) - Lemma 37.53.1
in Section 37.53: Stein factorization
(go to statistics) - Theorem 37.53.4
in Section 37.53: Stein factorization
(go to statistics) - Theorem 37.53.5
in Section 37.53: Stein factorization
(go to statistics) - Lemma 37.72.4
in Section 37.72: Contracting rational curves
(go to statistics) - Lemma 38.39.5
in Section 38.39: Descent vector bundles in positive characteristic
(go to statistics) - Lemma 38.39.6
in Section 38.39: Descent vector bundles in positive characteristic
(go to statistics) - Lemma 39.14.4
in Section 39.14: Quasi-coherent sheaves on groupoids
(go to statistics) - Lemma 39.15.1
in Section 39.15: Colimits of quasi-coherent modules
(go to statistics) - Lemma 39.15.3
in Section 39.15: Colimits of quasi-coherent modules
(go to statistics) - Lemma 40.15.2
in Section 40.15: Descending ind-quasi-affine morphisms
(go to statistics) - Lemma 42.15.1
in Section 42.15: Push and pull
(go to statistics) - Lemma 42.67.6
in Section 42.67: Change of base scheme
(go to statistics) - Lemma 44.6.1
in Section 44.6: The Picard scheme of a curve
(go to statistics) - Lemma 44.7.2
in Section 44.7: Some remarks on Picard groups
(go to statistics) - Lemma 50.20.3
in Section 50.20: Poincaré duality
(go to statistics) - Lemma 50.24.4
in Section 50.24: Relative Poincaré duality
(go to statistics) - Lemma 51.8.4
in Section 51.8: Finiteness of pushforwards, I
(go to statistics) - Lemma 51.15.2
in Section 51.15: Improving coherent modules
(go to statistics) - Lemma 52.16.9
in Section 52.16: Algebraization of coherent formal modules, I
(go to statistics) - Lemma 52.27.4
in Section 52.27: Invertible modules on punctured spectra, II
(go to statistics) - Proposition 52.28.1
in Section 52.28: Application to Lefschetz theorems
(go to statistics) - Lemma 53.6.7
in Section 53.6: Some vanishing results
(go to statistics) - Lemma 53.8.2
in Section 53.8: The genus of a curve
(go to statistics) - Lemma 53.18.5
in Section 53.18: Genus versus geometric genus
(go to statistics) - Lemma 53.18.6
in Section 53.18: Genus versus geometric genus
(go to statistics) - Lemma 53.21.7
in Section 53.21: More vanishing results
(go to statistics) - Lemma 53.23.6
in Section 53.23: Contracting rational bridges
(go to statistics) - Lemma 54.11.4
in Section 54.11: Base change to the completion
(go to statistics) - Lemma 54.13.3
in Section 54.13: Implied properties
(go to statistics) - Lemma 54.16.5
in Section 54.16: Contracting exceptional curves
(go to statistics) - Lemma 56.5.4
in Section 56.5: Functors between categories of quasi-coherent modules
(go to statistics) - Lemma 56.5.11
in Section 56.5: Functors between categories of quasi-coherent modules
(go to statistics) - Lemma 58.21.5
in Section 58.21: Purity of branch locus
(go to statistics) - Lemma 58.29.1
in Section 58.29: Affineness of complement of ramification locus
(go to statistics) - Lemma 59.63.5
in Section 59.63: The Artin-Schreier sequence
(go to statistics) - Lemma 67.15.3
in Section 67.15: Supports of modules
(go to statistics) - Lemma 85.28.2
in Section 85.28: Quasi-coherent modules on simplicial schemes
(go to statistics) - Lemma 109.23.3
in Section 109.23: Contraction morphisms
(go to statistics)