Dimension projective finie et cohomologie locale

 Access to full text

 Full (PDF)

1. [1] M. ARTIN, Algebraic approximation of structures over complete local rings, Publ. Math. I.H.E.S., 36, 1969. Zbl0181.48802MR42 #3087
2. [2] M. AUSLANDER, Modules over unramified regular local rings, Ill. J. of Math., 5 (1961), 631-645. Zbl0104.26202MR31 #3460
3. [3] M. AUSLANDER, Modules over unramified regular local rings, Proc. Intern. Congress of math., 1962, 230-233. Zbl0123.03702
4. [4] M. AUSLANDER, On the purity of branch locus, Amer. J. of Math., 84 (1962), 116-125. Zbl0112.13101MR25 #1182
5. [5] M. AUSLANDER et D. BUCHSBAUM, Homological codimension and multiplicity, Ann. of Math., 68 (1958), 626-657. Zbl0092.03902MR20 #6414
6. [6] H. BASS, On the ubiquity of Gorenstein rings, Math. Zeitschr., 82 (1963), 8-28. Zbl0112.26604MR27 #3669
7. [7] N. BOURBAKI, Algèbre commutative, Hermann, Paris, 1961-1965. 
8. [8] H. CARTAN et S. EILENBERG, Homological algebra, Princeton University Press, 1956. Zbl0075.24305MR17,1040e
9. [9] GABRIEL, Objets injectifs dans les catégories abéliennes, Séminaire Dubreil-Pisot, Algèbre et théorie des nombres, 12e année, 1958-1959, n° 17, 32 p. Zbl0214.03301
10. [10] A. GROTHENDIECK, Cohomologie locale des faisceaux cohérents et théorèmes de Lefschetz locaux et globaux (SGA 2), North Holland, Amsterdam, 1968. Zbl0197.47202MR57 #16294
11. [11] A. GROTHENDIECK, Local cohomology, Lectures notes on mathematics, n° 41, Springer Verlag, 1967. Zbl0185.49202MR37 #219
12. [12] A. GROTHENDIECK, Éléments de géométrie algébrique, Publ. Math. I.H.E.S., nos 4, 8, 11, 17, 20, 24, 32. Zbl0203.23301
13. [13] R. HARTSHORNE, Residues and duality, Lectures notes on mathematics, n° 20, Springer Verlag, 1966. Zbl0212.26101MR36 #5145
14. [14] R. HARTSHORNE, Cohomological dimension of algebraic varieties, Ann. of Math., 88 (1968), 403-450. Zbl0169.23302MR38 #1103
15. [15] R. HARTSHORNE, Ample subvarieties of algebraic varieties, Lectures notes in mathematics, n° 156, Springer Verlag, 1970. Zbl0208.48901MR44 #211
16. [16] HORROCKS, Vector bundles on the punctured spectrum of a local ring, Proc. Lond. Math. Soc. (3), 14 (1964), 689-713. Zbl0126.16801MR30 #120
17. [17] S. KLEIMANN, On the vanishing of Hn(X, F) for an n-dimensional variety, Proc. Amer. Math. Soc., 18 (1967), 940-944. Zbl0165.24001
18. [18] E. KUNZ, Characterisations of regular local rings of characteristic p, Amer. J. of Math., 41 (1969), 772-784. Zbl0188.33702MR40 #5609
19. [19] S. LICHTENBAUM, On the vanishing of Tor in regular local rings, Ill. J. of Math., 10 (1966), 220-226. Zbl0139.26601MR32 #5688
20. [20] MACAULAY, Algebraic theory of modular systems, Cambridge tracts, n° 19, 1916. Zbl0802.13001JFM46.0167.01
21. [21] D. REES, The grade of an ideal or module, Proc. Camb. phil. soc., 53 (1957), 28-42. Zbl0079.26602MR18,637c
22. [22] P. SAMUEL, Séminaire d'algèbre commutative, Anneaux de Gorenstein et torsion en algèbre commutative. Secrétariat mathématique, 11, rue Pierre Curie, Paris (5e), 1967. Zbl0157.08301
23. [23] J.-P. SERRE, Algèbre locale et multiplicité, Lectures notes in mathematics, n° 11, Springer Verlag, 1965. Zbl0142.28603MR34 #1352
24. [24] D. A. BUSCHBAUM, Complexes associated with the minors of a matrix, Symposia Matematica, vol. IV, 1970, Bologna. Zbl0248.18028

1. L. Szpiro, Variétés de codimension $2$ dans $P^n$
2. Shahram Rezaei, Artinianness of formal local cohomology modules
3. Melvin Hochster, Craig Huneke, Tight closure and strong F-regularity
4. Geir Ellingsrud, Sur le schéma de Hilbert des variétés de codimension $2$ dans ${𝐏}^e$ à cône de Cohen-Macaulay
5. David Eisenbud, Gunnar Fløystad, Jerzy Weyman, The existence of equivariant pure free resolutions
6. Jean-François Boutot, Frobenius et cohomologie locale
7. Melvin Hochster, Associated Graded Rings Derived from Integrally Closed Ideals and the Local Homological Conjectures
8. Lucien Szpiro, Cohomologie des ouverts de l'espace projectif sur un corps de caractéristique zéro
9. Paul Roberts, Two applications of dualizing complexes over local rings
10. Birger Iversen, Amplitude inequalities for complexes