This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
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).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1983 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/BFb0063234
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12319-4
Online ISBN: 978-3-540-40043-1
eBook Packages: Springer Book Archive