@article{PMIHES_1973__42__47_0, author = {Peskine, Christian and Szpiro, Lucien}, title = {Dimension projective finie et cohomologie locale}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {47--119}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {42}, year = {1973}, mrnumber = {51 #10330}, zbl = {0268.13008}, language = {fr}, url = {http://www.numdam.org/item/PMIHES_1973__42__47_0/} }
TY - JOUR AU - Peskine, Christian AU - Szpiro, Lucien TI - Dimension projective finie et cohomologie locale JO - Publications Mathématiques de l'IHÉS PY - 1973 SP - 47 EP - 119 VL - 42 PB - Institut des Hautes Études Scientifiques UR - http://www.numdam.org/item/PMIHES_1973__42__47_0/ LA - fr ID - PMIHES_1973__42__47_0 ER -
%0 Journal Article %A Peskine, Christian %A Szpiro, Lucien %T Dimension projective finie et cohomologie locale %J Publications Mathématiques de l'IHÉS %D 1973 %P 47-119 %V 42 %I Institut des Hautes Études Scientifiques %U http://www.numdam.org/item/PMIHES_1973__42__47_0/ %G fr %F PMIHES_1973__42__47_0
Peskine, Christian; Szpiro, Lucien. Dimension projective finie et cohomologie locale. Publications Mathématiques de l'IHÉS, Tome 42 (1973), pp. 47-119. http://www.numdam.org/item/PMIHES_1973__42__47_0/
[1] Algebraic approximation of structures over complete local rings, Publ. Math. I.H.E.S., 36, 1969. | EuDML | Numdam | MR | Zbl
,[2] Modules over unramified regular local rings, Ill. J. of Math., 5 (1961), 631-645. | MR | Zbl
,[3] Modules over unramified regular local rings, Proc. Intern. Congress of math., 1962, 230-233. | Zbl
,[4] On the purity of branch locus, Amer. J. of Math., 84 (1962), 116-125. | MR | Zbl
,[5] Homological codimension and multiplicity, Ann. of Math., 68 (1958), 626-657. | MR | Zbl
et ,[6] On the ubiquity of Gorenstein rings, Math. Zeitschr., 82 (1963), 8-28. | EuDML | MR | Zbl
,[7] Algèbre commutative, Hermann, Paris, 1961-1965.
,[8] Homological algebra, Princeton University Press, 1956. | MR | Zbl
et ,[9] Objets injectifs dans les catégories abéliennes, Séminaire Dubreil-Pisot, Algèbre et théorie des nombres, 12e année, 1958-1959, n° 17, 32 p. | EuDML | Numdam | Zbl
,[10] Cohomologie locale des faisceaux cohérents et théorèmes de Lefschetz locaux et globaux (SGA 2), North Holland, Amsterdam, 1968. | MR | Zbl
,[11] Local cohomology, Lectures notes on mathematics, n° 41, Springer Verlag, 1967. | MR | Zbl
,[12] Éléments de géométrie algébrique, Publ. Math. I.H.E.S., nos 4, 8, 11, 17, 20, 24, 32. | Numdam | Zbl
,[13] Residues and duality, Lectures notes on mathematics, n° 20, Springer Verlag, 1966. | MR | Zbl
,[14] Cohomological dimension of algebraic varieties, Ann. of Math., 88 (1968), 403-450. | MR | Zbl
,[15] Ample subvarieties of algebraic varieties, Lectures notes in mathematics, n° 156, Springer Verlag, 1970. | MR | Zbl
,[16] Vector bundles on the punctured spectrum of a local ring, Proc. Lond. Math. Soc. (3), 14 (1964), 689-713. | MR | Zbl
,[17] On the vanishing of Hn(X, F) for an n-dimensional variety, Proc. Amer. Math. Soc., 18 (1967), 940-944. | Zbl
,[18] Characterisations of regular local rings of characteristic p, Amer. J. of Math., 41 (1969), 772-784. | MR | Zbl
,[19] On the vanishing of Tor in regular local rings, Ill. J. of Math., 10 (1966), 220-226. | MR | Zbl
,[20] Algebraic theory of modular systems, Cambridge tracts, n° 19, 1916. | JFM | Zbl
,[21] The grade of an ideal or module, Proc. Camb. phil. soc., 53 (1957), 28-42. | MR | Zbl
,[22] Séminaire d'algèbre commutative, Anneaux de Gorenstein et torsion en algèbre commutative. Secrétariat mathématique, 11, rue Pierre Curie, Paris (5e), 1967. | Zbl
,[23] Algèbre locale et multiplicité, Lectures notes in mathematics, n° 11, Springer Verlag, 1965. | MR | Zbl
,[24] Complexes associated with the minors of a matrix, Symposia Matematica, vol. IV, 1970, Bologna. | Zbl
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