journal article Sep 01, 1997

Frobenius splitting and hyperplane sections of flag manifolds

View at Publisher Save 10.1007/s002220050147
Topics

No keywords indexed for this article. Browse by subject →

References
11
[1]
Andersen, H. H., The Frobenius homomorphism on the cohomology of homogeneous vector bundles on G/B, Ann. Math. 112 (1980), 113–121. 10.2307/1971322
[2]
Haboush, W. J., Reductive groups are geometrically reductive, Ann. Math. 102 (1975), 67–84. 10.2307/1970974
[3]
Haboush, W. J., A short proof of the Kempf vanishing theorem, Inv. math. 56 (1980), 109–112. 10.1007/bf01392545
[4]
Inamdar, S. and Mehta, V. B., Frobenius splitting of Schubert varieties and linear syzygies, Amer. J. Math. 116 (1994), 1569–1586. 10.2307/2375059
[5]
Kaneda, M., The Frobenius morphism on Schubert schemes, J. Algebra 174 (1995), 473–488. 10.1006/jabr.1995.1135
[6]
Kempf, G. R., Representations of algebraic groups in prime characteristics, Ann. Sci. Ec. Norm. Sup. 14 (1981), 61–76. 10.24033/asens.1397
[7]
Mehta, V. B. and Ramanathan, A., Frobenius splitting and cohomology vanishing for Schubert varieties, Ann. of Math. 122 (1985), 27–40. 10.2307/1971368
[8]
Mehta, V. B. and Ramanathan, A., Schubert varieties in G/B × G/B, Compos. Math. 67 (1988), 355–358.
[9]
Mehta, V. B. and Venkataramana, T. N., A note on Steinberg modules and Frobenius splitting, Invent, math. 123 (1996), 467–469. 10.1007/s002220050037
[10]
Ramanan, A. and Ramanathan, A., Projective normality of flag varieties and Schubert varieties, Invent, math. 80 (1985), 217–224. 10.1007/bf01388970
[11]
Ramanathan, A., Equations defining Schubert varieties and Frobenius splitting of diagonals, Publ. Math. I. H. E. S. 65 (1987), 61–90. 10.1007/bf02698935
Metrics
4
Citations
11
References
Details
Published
Sep 01, 1997
Vol/Issue
128(3)
Pages
437-442
License
View
Cite This Article
Niels Lauritzen, Jesper Funch Thomsen (1997). Frobenius splitting and hyperplane sections of flag manifolds. Inventiones mathematicae, 128(3), 437-442. https://doi.org/10.1007/s002220050147
Related

You May Also Like

Ordinary differential equations, transport theory and Sobolev spaces

R. J. DiPerna, P. L. Lions · 1989

1,396 citations

Index for subfactors

V. F. R. Jones · 1983

890 citations

Invariants of 3-manifolds via link polynomials and quantum groups

N. Reshetikhin, V. G. Turaev · 1991

826 citations