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Liaison des variétés algébriques. I. (French) Zbl 0298.14022


MSC:

14M10 Complete intersections
14M05 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
14C99 Cycles and subschemes
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References:

[1] Abhyankar, S.: Algebraic space curves. Presses de l’Université de Montréal 1970
[2] Apéry, R.: Sur certains caractéres numériques d’un idéal sans composant impropre. C.R.A.S.220, 234-236 (1945). ?Sur les courbes de première espèce de l’espace à trois dimensions?. C.R.A.S.220, 271-272 (1945)
[3] Artin, M., Nagata, M.: Residual intersections in Cohen-Macaulay rings. J. Math. Kyoto Univ.12, 307-323 (1972) · Zbl 0263.14019
[4] Buchsbaum, D., Eisenbud, D.: Gorenstein ideals of height 3. A paraitre.
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[8] Horrocks, C., Mumford, D.: A rank 2 vector bundle on P4 with 15000 symmetries. Topology.12, 63-81 (1973) · Zbl 0255.14017
[9] Gaeta, F.: Quelques progrès récents dans la classification des variétés algébriques d’un espace projectif. Deuxieme Collogue de Géométrie Algébrique Liège. C.B.R.M. 145-181 (1952)
[10] Grothendieck, A.: Cohomologie locale des faisceaux cohérents et Théorèmes de Lefschetz locaux et globaux. Advanced Studies in Pure Mathématics. Masson-North Holland 1962
[11] Grothendieck, A.: Eléments de Géométrie Algébrique IV. Publications de l’I.H.E.S. No 28. 1966
[12] Macaulay, F. S.: Algebraic theory of modular systems. Cambridge tract no 19. 1916 · JFM 46.0167.01
[13] Peskine, C., Szpiro, L.: Dimension projective finie et cohomologie locale. Publications de l’I.H.E.S.,42, 47-119 (1973) · Zbl 0268.13008
[14] Samuel, P.: Séminaire d’Algèbre commutative 1966/67. Anneaux de Gorenstein. Secrétariat mathèmatique.11, rue P. Curie, Paris 5o
[15] Dubreil, P.: Quelques propriétés des variétés algébriques. Actualités Scientifiques et Industrielles210. Paris: Hermann 1935
[16] Hartshorne, R., Ogus, A.: On the factoriality of local rings of small embedding codimension. A paraitre · Zbl 0286.13013
[17] Noether, M.: Zur Grundlegung der Theorie der algebraischen Raumcurven. Crelle Journale93, 271-318 (1882) · JFM 14.0669.03
[18] Schaps, M.: Non-singular deformations of space curves using determinantal schemes. Thesis, Harward (1972)
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