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The determinantal formula of Schubert calculus. (English) Zbl 0295.14023


MSC:

14M99 Special varieties
14C15 (Equivariant) Chow groups and rings; motives
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[1] Damon, J. N. Thom polynomials for contact class singularities. Thesis presented at Harvard University, Cambridge (1972).
[2] Grothendieck, A., Sur quelques propriétés fondamentales en théorie des intersections.Séminaire Chevalley, E.N.S. Paris (1958).
[3] – Théorie des classes de Chern.Bull. Soc. Math. France, 86 (1958), pp. 137–154 · Zbl 0091.33201
[4] Hochster, M. &Eagon, J. A., Cohen-Macaulay rings, invariant theory, and the generic perfection of determinantal loci.Amer. J. Math., 93 (1971), 1020–1058. · Zbl 0244.13012
[5] Hochster, M., Grassmannians and their Schubert subvarieties are arithemetically Cohen-Macaulay.J. Algebra, 25 (1973), 40–57. · Zbl 0256.14024
[6] Kempf, G., Schubert methods with an application to algebraic curves.Publication of Matematisch Centrum, Amsterdam (1971).
[7] Kleiman, S. L. &Laksov, D., On the existence of special divisors.Amer. J. Math., 94 (1972), 431–436. · Zbl 0251.14005
[8] Laksov, D., The arithmetic Cohen-Macaulay character of Schubert schemes.Acta Math., 129 (1972), 1–9. · Zbl 0233.14012
[9] Porteous, I. R., Simple singularities of maps.Proceedings of Liverpool singularities-symposium 1, Lecture notes in mathematics, vol. 192, Springer-Verlag, New York, 1971.
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