The cotangent complex of a morphism
HTML articles powered by AMS MathViewer
- by S. Lichtenbaum and M. Schlessinger
- Trans. Amer. Math. Soc. 128 (1967), 41-70
- DOI: https://doi.org/10.1090/S0002-9947-1967-0209339-1
- PDF | Request permission
References
- Armand Borel and Jean-Pierre Serre, Le théorème de Riemann-Roch, Bull. Soc. Math. France 86 (1958), 97–136 (French). MR 116022 P. Cartier, Seminaire Cartan-Chevalley (1955-1956), Exposé XIII.
- Murray Gerstenhaber, On the deformation of rings and algebras, Ann. of Math. (2) 79 (1964), 59–103. MR 171807, DOI 10.2307/1970484
- Hans Grauert and Hans Kerner, Deformationen von Singularitäten komplexer Räume, Math. Ann. 153 (1964), 236–260 (German). MR 170354, DOI 10.1007/BF01360319 A. Grothendieck, Éléments de geometrie algebrique. I-IV, Institut des Hautes Études Scientifiques, 1960-1964. —, Théorèmes de dualité pour les faisceaux algébriques cohérents, Seminaire Bourbaki, May 1957.
- D. K. Harrison, Commutative algebras and cohomology, Trans. Amer. Math. Soc. 104 (1962), 191–204. MR 142607, DOI 10.1090/S0002-9947-1962-0142607-6 R. Hartshorne, Seminaire Hartshorne (The duality theorem of Grothendieck), Harvard Univ., Cambridge, Mass. (1963-1964).
- Ernst Kunz, Differentialformen inseparabler algebraischer Funktionenkörper, Math. Z. 76 (1961), 56–74 (German). MR 136604, DOI 10.1007/BF01210961 S. Lichtenbaum, Curves over discrete valuation rings, Ph.D. Thesis, Harvard Univ., Cambridge, Mass., 1964 (unpublished).
- Saunders Mac Lane, Homology, Die Grundlehren der mathematischen Wissenschaften, Band 114, Academic Press, Inc., Publishers, New York; Springer-Verlag, Berlin-Göttingen-Heidelberg, 1963. MR 0156879
- Yoshikazu Nakai, On the theory of differentials in commutative rings, J. Math. Soc. Japan 13 (1961), 63–84. MR 125131, DOI 10.2969/jmsj/01310063 M. Schlessinger, Infinitesimal deformations of singularities, Ph.D. Thesis, Harvard Univ., Cambridge, Mass., 1964 (unpublished). J.-P. Serre, Algèbre locale-multiplicités, Mimeographed notes by P. Gabriel, Collège de France, 1958.
- Umeshachandra Shukla, Cohomologie des algèbres associatives, Ann. Sci. École Norm. Sup. (3) 78 (1961), 163–209 (French). MR 0132769
- Murray Gerstenhaber, On the deformation of rings and algebras. II, Ann. of Math. (2) 84 (1966), 1–19. MR 0207793, DOI 10.2307/1970528
Bibliographic Information
- © Copyright 1967 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 128 (1967), 41-70
- MSC: Primary 18.20; Secondary 13.00
- DOI: https://doi.org/10.1090/S0002-9947-1967-0209339-1
- MathSciNet review: 0209339