This is a preview of subscription content, log in via an institution to check access.
References
Backelin, J.: On the rates of growth of the homologies of Veronese subrings. (Lect. Notes Math., vol. 1183, p. 79–100). Berlin Heidelberg New York: Springer 1986
Beilinson, A.A.: Coherent sheaves onP n and problems of linear algebra. Funkcionalniy analiz i ego pril.12, 68–69 (1978) (in Russian)
Beilinson, A.A.: The derived category of coherent sheaves onP n. In: Questions of group theory and homological algebra, vol. 2, Aroslavl state univ., 1979, p. 42–54 (in Russian).
Beilinson, A.A., Bernstein, I.N., Deligne, P.: Faisceaux pervers. Astérisque100, 1981
Bernstein, I.N., Gelfand, I.M., Gelfand, S.I.: Algebraic vector bundles onP n and problems of linear algebra. Funkcionalniy analiz i ego pril.12, 66–67 (1978) (in Russian)
Brauer, R., Weyl, H.: Spinors inN dimensions. Am. J. Math.57, 425–449 (1935)
Drezet, J.: M. Fibres exceptionels et suite spectrale de Beilinson generalisee surP 2(C). Math. Ann.275, 25–48 (1986)
Gorodentsev, A.L., Rudakov, A.N.: Exceptional bundles on projective spaces. Duke Math. J. (in press)
Hartshorne, R.: Algebraic geometry. Berlin Heidelberg New York: Springer 1977
Hartshorne R.: Residues and duality. (Lect. Notes Math. vol. 20) Berlin Heidelberg New York: Springer 1966
Kapranov, M.M.: On the derived category of coherent sheaves on Grassmann varieties. USSR Math. Izvestija48, 192–202 (1984)
Kapranov, M.M.: The derived category of coherent sheaves on a quadric. Funkcionalniy analiz i ego pril.20, 67 (1986) (in Russian)
Kostant, B.: Lie algebra cohomology and the generalised Borel-Weil theorem. Ann. Math.74, 329–387 (1961)
Lofwall, C.: On the subalgebra generated by one-dimensional elements in the Yoneda Ext-algebia. (Lect. Notes Math. vol. 1183, p. 291–338). Berlin Heidelberg New York: Springer 1986
Macdonald, I.: Symmetric functions and Hall polynomials. Oxford: Clarendon Press, 1979
McLane, S.: Homology. Berlin Heidelberg New York: Springer, 1963
Okonek, C., Schneider, M., Spindler, H.: Vector bundles on complex projective spaces. Basel Boston Birkhäuser, 1980
Priddy, S.: Koszul complexes. Trans. Am. Math. Soc.152, 1970
Swan, R.G.:K-theory of quadric hypersurfaces. Ann. Math.121, 113–153 (1985)
Tate, J.: Homology of Noetherian rings and local rings. Ill. J. Math.1, 14–27 (1957)
Verdier, J.-L.: Categories derivees. (Lect. Notes Math. 569, p. 262–311). Berlin Heidelberg New York: Springer 1977
Weyl, H.: Classical groups. Princeton Princeton University Press, 1941
Whitehead, G.W.: Recent advances in homotopy theory. Am. Math. Soc. regional conference series in Math., vol. 5, 1970
Cohen, J.M.: The decomposition of stable homotopy. Ann. Math.87, 305–320 (1968)
O'Brien N., Toledo D., Tong Y.L.: The trace and characteristic classes of coherent sheaves. Am. J. Math.103, 225–252 (1981)
Author information
Authors and Affiliations
Additional information
To A. Grothendieck on his 60-th birthday
Rights and permissions
About this article
Cite this article
Kapranov, M.M. On the derived categories of coherent sheaves on some homogeneous spaces. Invent Math 92, 479–508 (1988). https://doi.org/10.1007/BF01393744
Issue Date:
DOI: https://doi.org/10.1007/BF01393744