Deformation of determinantal schemes
Compositio Mathematica, Tome 30 (1975) no. 3, pp. 273-292.
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     zbl = {0306.14022},
     language = {en},
     url = {http://www.numdam.org/item/CM_1975__30_3_273_0/}
}
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Laksov, Dan. Deformation of determinantal schemes. Compositio Mathematica, Tome 30 (1975) no. 3, pp. 273-292. http://www.numdam.org/item/CM_1975__30_3_273_0/

[1] A-K. A. Altman and S.L. Kleiman: Introduction to Grothendieck duality theory. Lecture notes in mathematics no. 146, Springer Verlag, 1970. | MR | Zbl

[2] H. Bass: Algebraic K-theory. Benjamin, New York (1968). | MR | Zbl

[3] J. Briancon and A. Galligo: Déformations distinguées d'un point de C2ou R2. Astérisque no. 7-8 (1973) 129-138. | Numdam | MR | Zbl

[4] D.A. Buchsbaum: Complexes associated with the minors of a matrix. Symposia Mathematica vol. IV, Bologna (1970) 255-283. | MR | Zbl

[5] L. Burch: On ideals of finite homological dimension in local rings. Proc. Cambridge Phil. Soc. vol. 64 (1968) 941-952. | MR | Zbl

[6] J.A. Eagon and M. Hochster: Cohen-Macaulay rings, invariant theory, and the generic perfection of determinantal loci. Am. Journ. Math. vol. 93 (1971) 1020-1058. | MR | Zbl

[7] Ega A. Grothendieck (with J. Dieudonné), Eléments de géométrie algébrique. Chap. IV, 1ere, 2eme, 3eme, 4eme parties, Publ. Math. de I.H.E.S., no. 20, 24, 28, 32 (1964, 1965, 1966, 1967). | Numdam

[8] J. Fogarty: Algebraic families on an algebraic surface. Am. Journ. Math., vol. 90 (1968) 511-521. | MR | Zbl

[9] G. Kempf: Schubert methods with an application to algebraic curves. Mathematisch Centrum, Amsterdam (1971). | Zbl

[10] G. Kempf and D. Laksov: The determinantal formula of Schubert calculus. Acta Matematica, vol. 132 (1974) p. 153-162. | MR | Zbl

[11] M. Hochster: Grassmannians and their Schubert subvarieties are arithmetically I Cohen-Macaulay. Journ. Algebra 25 (1973) 40-57. | MR | Zbl

[12] S.L. Kleiman: The transversality of a general translate. Compositio Math., vol. 28 (1974) 287-297. | Numdam | MR | Zbl

[13] S.L. Kleiman and J. Landolfi: Geometry and deformation of special Schubert varieties. Compositio Math., vol. 23 (1971) 407-434. | Numdam | MR | Zbl

[14] D. Laksov: The arithmetic Cohen-Macaulay character of Schubert schemes. Acta Mathematica vol. 129 (1972) 1-9. | MR | Zbl

[15] C. Musili: Postulation formula for Schubert varieties. Journ. Indian Math. Soc. 36 (1972) 143-171. | MR | Zbl

[16] M. Schaps: Non singular deformations of space curves using determinantal schemes. Doctoral dissertation, Harvard University, Cambridge, Mass. (1972).

[17] T. Svanes: Coherent cohomology on flag manifolds and rigidity. Doctoral dissertation, M.I.T., Cambridge, Mass. (1972).