References
A.Borel, Linear Algebraic Groups, Second Edition. Berlin-Heidelberg-New York 1991.
R. Bott, Homogeneous vector bundles. Ann. of Math.66, 203–248 (1957).
P. Griffiths, Some geometric and analytic properties of homogeneous complex manifolds, I. Acta Math.110, 115–155 (1963).
J.Humphreys, Introduction to Lie Algebras and Representation Theory. Berlin-Heidelberg-New York 1972.
L. Manivel, Un théorèmes d'annulation pour les puissances extérieures d'un fibre ample. J. Reine Angew. Math.422, 91–116 (1991).
L. Manivel, Théorèmes d'annulation pour les fibrés associés à un fibré ample. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)19, 515–565 (1992).
D. M. Snow, Cohomology of twisted holomorphic forms on Grassmann manifolds and quadric hypersurfaces. Math. Ann.276, 159–176 (1986).
D. M. Snow, Vanishing theorems on compact hermitian symmetric spaces. Math. Z.198, 1–20 (1988).
D. M.Snow, Dolbeault cohomology of homogeneous line bundles. Preprint
D. M.Snow, Nef value of homogeneous line bundles and related vanishing theorems. To appear in Forum Math.
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Snow, D.M., Weller, K. A vanishing theorem for generalized flag manifolds. Arch. Math 64, 444–451 (1995). https://doi.org/10.1007/BF01197223
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DOI: https://doi.org/10.1007/BF01197223