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References
A.R. ALGUNEID: Complete quadric primals in four dimensional space. Proc. Math. Phys. Soc. Egypt, 4, (1952), 93–104.
BIALYNICKI-BIRULA: Some theorems on actions of algebraic groups. Ann. of Math., 98, 1973, 480–497.
A. BOREL: Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts. Ann. of Math., 57, 1953, 116–207.
R. BOTT: Homogeneous vector bundles. Ann. of Math. 66, 1957, 203–248.
M. DEMAZURE: Limites de groupes orthogonaux ou symplectiques. Preprint 1980.
G. GHERARDELLI: Sul modello minimo delle varietà degli elementi differenziali del 2° ordine del piano proiettivo. Rend. Acad. Lincei, (7) 2, 1941, 821–828.
G.H. HALPHEN: Sur la recherche des points d'une courbe algégrique plane. In "Journal de Mathématique", 2, 1876, 257.
HARISH-CHANDRA: Spherical functions on a semisimple Lie group I. Amer. J. of Math., 80, 1958, 241–310.
S. HELGASON: A duality for symmetric spaces with applications to group representations. Advances in Math. 5, 1–154, (1970).
S. HELGASON: Differential geometry, Lie groups, and symmetric spaces. Acad. Press 1978.
S. KLEIMAN: Problem 15. Rigorous foundation of Schubert enumerative calculus. Proceedings of Symp. P. Math. 28, A. M. S., Providence (1976).
S. KLEIMAN: The transversality of a general translate. Comp. Math., 28, 1974, 287–297.
D. LUNA, T. VUST: Plongements d'espaces homogenès. Preprint.
H. SCHUBERT: Kalkül der abzählenden geometrie. Liepzig 1879 (reprinted Springer Verlag 1979).
J.G. SEMPLE: On complete quadrics I. J.London Math.Soc. 23, 1948, 258–267.
J.G. SEMPLE: The variety whose points represent complete collineations of Sr on S'r. Rend. Mat. 10, 201–280 (1951).
J.G. SEMPLE: On complete quadrics II. J. London M. S. 27, 280–287 (1952).
F. SEVERI: Sui fondamenti della geometria numerativa e sulla teoria delle caratteristiche. Atti del R. Ist. Veneto, 75, 1916, 1122–1162.
F. SEVERI: I fondamenti della geometria numerativa. Ann. di Mat., (4) 19, 1940, 151–242.
E. STUDY: Uber die geometrie der kegelschnitte, insbesondere dere charakteristiken problem. Math. Ann., 26, 1886, 51–58.
J.A. TYRELL: Complete quadrics and collineations in Sn. Mathematika 3, 69–79 (1956).
I. VAISENCHER: Schubert calculus for complete quadrics. Preprint.
B.L. VAN DER WAERDEN: Z.A.G. XV, Losung des charakteristikenproblem für kegelschnitte. Math. Ann. 115, 1938, 645–655.
J. VUST: Opération des groupes réductifs dans un type de cônes presque homogènes. Bull. Soc. Math. France, 102, 1974, 317–333.
H.G. ZEUTHEN: Abzählende methoden der geometrie. Liepzig 1914.
A. BIALYNICKI-BIRULA: Some properties of the decomposition of algebraic varieties determined by actions of a torus. Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 24 (1976) n. 9, 667–674.
R. STEINBERG: Générateurs, relations et revêtements de groupes algébriques, p. 113–127, Collq. Theorie des Groupes Algébriques, Gauthier Villars (1962).
R. STEINBERG: Endomorphisms of linear algebraic groups, Mem. of the A.M.S. n. 80 (1968).
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De Concini, C., Procesi, C. (1983). Complete symmetric varieties. In: Gherardelli, F. (eds) Invariant Theory. Lecture Notes in Mathematics, vol 996. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063234
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DOI: https://doi.org/10.1007/BFb0063234
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