References
Andersen, H. H., The Frobenius homomorphism on the cohomology of homogeneous vector bundles on G/B, Ann. Math. 112 (1980), 113–121.
Haboush, W. J., Reductive groups are geometrically reductive, Ann. Math. 102 (1975), 67–84.
Haboush, W. J., A short proof of the Kempf vanishing theorem, Inv. math. 56 (1980), 109–112.
Inamdar, S. and Mehta, V. B., Frobenius splitting of Schubert varieties and linear syzygies, Amer. J. Math. 116 (1994), 1569–1586.
Kaneda, M., The Frobenius morphism on Schubert schemes, J. Algebra 174 (1995), 473–488.
Kempf, G. R., Representations of algebraic groups in prime characteristics, Ann. Sci. Ec. Norm. Sup. 14 (1981), 61–76.
Mehta, V. B. and Ramanathan, A., Frobenius splitting and cohomology vanishing for Schubert varieties, Ann. of Math. 122 (1985), 27–40.
Mehta, V. B. and Ramanathan, A., Schubert varieties in G/B × G/B, Compos. Math. 67 (1988), 355–358.
Mehta, V. B. and Venkataramana, T. N., A note on Steinberg modules and Frobenius splitting, Invent, math. 123 (1996), 467–469.
Ramanan, A. and Ramanathan, A., Projective normality of flag varieties and Schubert varieties, Invent, math. 80 (1985), 217–224.
Ramanathan, A., Equations defining Schubert varieties and Frobenius splitting of diagonals, Publ. Math. I. H. E. S. 65 (1987), 61–90.
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Oblatum 30-V-1996 ⇐p; 18-IX-1996
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Lauritzen, N., Thomsen, J.F. Frobenius splitting and hyperplane sections of flag manifolds. Invent. math. 128, 437–442 (1997). https://doi.org/10.1007/s002220050147
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DOI: https://doi.org/10.1007/s002220050147