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[DC-P]DeConcini, C. & Procesi, C. Complete symmetric varieties, inInvariant Theory, Proceedings, Montecatini, ed. F. Gheradelli. Springer Lecture Notes, No. 996, 1983, pp. 1–44; II, Preprint, Fall 1983.
[F]Fulton, W. Intersection Theory. Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, Band 2. Springer-Verlag, Berlin, 1984.
[G]Giambelli, G. Z. Il probleme della correlazione negli iperspazi.Mem. Reale Inst. Lombardo, 19 (1903), 155–194.
[K-L]Kempf, G. &Laksov, D. The determinantal formula of Schubert calculus.Acta Math., 132 (1973), 153–162.
[K]Kleiman, S. Chasles's enumerative theory of conics: A historical introduction, inStudies in Algebraic Geometry, MAA Studies in Mathematics, vol. 20, ed. A. Seidenberg, 1980, pp. 117–138.
[K-T]Kleiman, S. & Thorup, A. Intersection theory and enumerative geometry. A decade in review (Section 3), inAlgebraic Geometry: Bowdoin 1985, ed. S. J. Bloch. Proc. Sympos. Pure Math., vol. 46-2, 1987, pp. 332–338.
[L]Laksov, D. Complete linear maps.Ark. Mat., 26 (1988), 231–263.
[L1]Laksov, D., Notes on the evolution of complete correlations, inEnumerative and Classical Algebraic Geometry, Proceedings Nice 1981, ed. Le Barz and Hervier. Birkhäuser, Progress in Math. 24, 1982, pp. 107–132.
[L2]Laksov, D., Complete quadrics and linear maps, inAlgebraic Geometry: Bowdoin 1985, ed. S. J. Bloch. Proc., Sympos Pure Math., vol. 46-2, 1987, pp. 371–387.
[Lx]Lascoux, A. Classes de Chern de la variété de drapeaux.C.R. Acad. Sci. Paris, 295 (1982), 393–397.
[Lx2] —, Fonctions de Schur et grassmanniennes.C.R. Acad. Sci. Paris, 281 (1975), 813–815; II, 851–854.
[M]Macdonald, I. G.,Symmetric functions and Hall polynomials. Oxford Univ. Press, Oxford, 1979.
[P]Pragacz, P. Enumerative geometry of degeneracy loci.Ann. Ecole Norm. Sup., 3 (1988).
[T-K]Thorup, A. & Kleiman, S. Complete bilinear forms, inAlgebraic Geometry: Sundance 1986, ed. A. Holme and R. Speiser. Lecture Notes in Mathematics, No. 1311, 1988, pp. 253–320.
[S1]Schubert, H. Allgemeine Anzahlfunctionen für Kegelschnitte, Flächen und Räume zweiten Grades inn Dimensionen.Math. Ann., 45 (1894), 153–206.
[S2] —, Correlative Verwandtschaft inn Dimensionen.Jahresber. Deutsch. Math-Verein, 4 (1894–95), 158–160.
[U]Uzava, T. Equivariant compactifications of algebraic symmetric spaces. Preprint, Fall 1985.
[V1]Vainsencher, I. Schubert calculus for complete quadrics, inEnumerative and Classical Algebraic Geometry, proceedings Nice 1981, ed. Le Barz and Hervier. Birkhäuser, Progress in Math. 24, 1982, pp. 199–235.
[V2] — Complete collineations and blowing up determinantal ideals.Math. Ann., 267 (1984), 417–432.
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Laksov, D., Lascoux, A. & Thorup, A. On Giambelli's theorem on complete correlations. Acta Math 162, 143–199 (1989). https://doi.org/10.1007/BF02392836
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DOI: https://doi.org/10.1007/BF02392836