Terminological index
A reference index of terminology used throughout SGA 2. Locators are of the form <Exposé Roman>.<section>(.<sub>) or
.
| Term | Where introduced |
|---|---|
| Auslander–Buchsbaum theorem | XI.3.13 |
| comparison theorem | IX.1.1, XII.2.1 |
| local duality theorem | V.2.1 |
| projective duality theorem | XII.1.1 |
| injective envelope | IV (p. 41) |
| excision theorem | I.2.2, VI.1.3 |
| existence theorem | IX.2.1, XII.3.1 |
| essential extension | IV (p. 41) |
| finiteness theorem | VIII.2.1, XII.1.5 |
| dualizing functor | IV.4.1, IV.4.2 |
| residue form | IV.5.5 |
| geometrically factorial (resp. geom. parafactorial) local ring | XIII (pp. 20, 24) |
| local homotopy groups | XIII (p. 146) |
| Gysin homomorphism | I (p. 14) |
| Hartshorne theorem | III.3.6 |
| Lefschetz condition | X.2 (p. 90) |
| effective Lefschetz condition | X.2 (p. 90) |
| affine Lefschetz theorem | XIV.3.1 |
| dualizing module | IV.4.1 |
| orthogonal of a submodule | IV.5 |
| parafactorial pair of preschemes | XI.3.1 |
| parafactorial local ring | XI.3.2 |
| depth | III.2.3 |
| étale depth | XIV.1.2 |
| geometrical depth of a noetherian local ring | XIV.5.3 |
| homotopical depth | XIII.6, Def. 1 (p. 154) |
| homotopical depth (with respect to ) | XIV.1.2 |
| rectified homotopical depth | XIII, Def. 2 (p. 155) |
| pure local ring | X.3.2 |
| pure pair of preschemes | X.3.1 |
| Zariski–Nagata purity theorem | X.3.4 |
| cohomological purity theorem | XIV.1.11 |
| -regular | III.2.1 |
| Samuel conjecture | XI.3.14 |
| cohomological semi-purity theorem | XIV.1.10 |
| strictly local ring | XIII.6 (p. 151) |