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References
Bourbaki, N., Elements de mathematiques, Algèbre chap. 9. Hermann 1959.
Buchsbaum, D.A. & Eisenbud, D., "Algebra structures for finite free resolutions and some structure theorems for ideals of codimension 3". Amer. J. Math. 99 (1977), 447–485.
Buchsbaum, D.A. & Rim, D.S., "A generalized Koszul complex I". Trans. Amer. Math. Soc. 111 (1964), 183–196.
Burch, L., "On ideals of finite homological dimension in local rings". Proc. Cambridge Phil. Soc. 64 (1968), 941–952.
De Concini, C. & Proceci, C., "A characteristic free approach to invariant theory". Advances in Math. 21 (1976), 330–354.
Eagon, J.A. & Hochster, M., "Cohen-Macaulay rings, invariant theory and the generic perfection of determinantal loci". Amer. J. Math. 93 (1971), 1020–1058.
Eagon, J.A. & Nothcott, D.G. "Ideals defined by matrices and a certain complex associated with them". Proc. Roy. Soc. Ser. A. 269 (1962), 188–204.
Eisenreich, G., "Zur perfectheit von Determinantideale". Beiträge zur Algebra und Geometrie 3 (1974), 49–54.
Ellingsrud, G., "Sur le schema de Hilbert des variétés de codimension 2 dans IPe a cone de Cohen-Macaulay". Annales Sci. de l'Ecole Normale Sup. 4e ser. 8 (1975), 423–432.
Fogarty, J., "Algebraic families on an algebraic surface". Amer. J. Math. 90 (1968), 511–521.
Hochster, M., "Grassmannians and their Schubert varieties are arithmetically Cohen-Macaulay". J. Algebra 25 (1973), 40–57.
Hochster, M. & Roberts, J.L., "Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay". Advances in Math. 13 (1974), 115–175.
Iarrobino, A., "Reducibility of the family of 0-dimensional schemes on a variety". Invent. Math. 15 (1972), 72–77.
Jozefiak, T. & Pragacz, P., "Syzygies de pfaffiens". Comptes Rendus 287 (1978), 89–91.
Kempf, G.R., "Vanishing theorems for flag manifolds". Amer. J. Math. 98 (1976), 325–331.
Kempf, G.R., "Linear systems on homogenous spaces". Ann. of Math. 103 (1976), 557–591.
Kleiman, S.L., "The transversality of a general translate". Compositio Math. 28 (1974), 287–297.
Kleppe, H., "Deformation of schemes defined by vanishing of pfaffians". J. Algebra 53 (1978), 84–92.
Lakshmibai, V. & Seshadri, C.S., "Geometry of G/P-II". Proc. Indian Acad. Sci. 87A (1978), 1–54.
Lakshimibai,V., Musili,C. & Seshadri,C.S.,"Geometry of G/P". Preprint.
Laksov, D., "The arithmetic Cohen-Macaulay character of Schubert schemes". Acta Math. 129 (1972), 1–9.
Laksov, D., "Deformation of determinantal schemes". Compositio Math. 30 (1975), 273–292.
Lascoux, A.. Thesis, Paris 1977.
Musili, C., "Postulation formula for Schubert varieties". Journ. Indian Math. Soc. 36 (1972), 143–171.
Room, T.G.. The geometry of determinantal loci. Cambr. Univ. Press 1938.
Schaps, M., "Deformation of Cohen-Macaulay schemes of codimension 2 and non-singular deformation of space curves". Amer. J. Math. 99 (1977), 669–685.
Svanes, T., "Coherent cohomology on flag manifolds and rigidity". Advances in Math. 14 (1974), 369–453.
Weyl, H.. The classical groups. Princeton Univ. Press 1946.
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Laksov, D. (1979). Deformation and transversality. In: Lønsted, K. (eds) Algebraic Geometry. Lecture Notes in Mathematics, vol 732. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066650
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