A simultaneous Frobenius splitting for closures of conjugacy classes of nilpotent matrices

V. B. Mehta; Wilberd Van der Kallen

Compositio Mathematica (1992)

  • Volume: 84, Issue: 2, page 211-221
  • ISSN: 0010-437X

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Mehta, V. B., and Van der Kallen, Wilberd. "A simultaneous Frobenius splitting for closures of conjugacy classes of nilpotent matrices." Compositio Mathematica 84.2 (1992): 211-221. <http://eudml.org/doc/90184>.

@article{Mehta1992,
author = {Mehta, V. B., Van der Kallen, Wilberd},
journal = {Compositio Mathematica},
keywords = {Frobenius split; nilpotent conjugacy classes; rational singularities},
language = {eng},
number = {2},
pages = {211-221},
publisher = {Kluwer Academic Publishers},
title = {A simultaneous Frobenius splitting for closures of conjugacy classes of nilpotent matrices},
url = {http://eudml.org/doc/90184},
volume = {84},
year = {1992},
}

TY - JOUR
AU - Mehta, V. B.
AU - Van der Kallen, Wilberd
TI - A simultaneous Frobenius splitting for closures of conjugacy classes of nilpotent matrices
JO - Compositio Mathematica
PY - 1992
PB - Kluwer Academic Publishers
VL - 84
IS - 2
SP - 211
EP - 221
LA - eng
KW - Frobenius split; nilpotent conjugacy classes; rational singularities
UR - http://eudml.org/doc/90184
ER -

References

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  6. [6] P. Griffiths and J. Harris, Principles of algebraic geometry, Wiley & Sons, New York (1978). Zbl0408.14001MR507725
  7. [7] W. Hesselink, The normality of closures of orbits in a Lie algebra, Comm. Math. Helv.54, (1979), 105-110. Zbl0395.14014MR522033
  8. [8] G. Kempf et al., Toroidal embeddings, Lecture Notes in Math. 339, Springer1973. Zbl0271.14017
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  10. [10] H. Kraft and C. Procesi, Closures of conjugacy classes are normal, Inv. Math.53 (1979), 227-247. Zbl0434.14026MR549399
  11. [11] G. Lusztig, Green polynomials and singularities of unipotent classes, Adv. in Math.42 (1981), 169-178. Zbl0473.20029MR641425
  12. [12] O. Mathieu, Formules de caractères pour les algèbres de Kac-Moody générales, Astérisque 159-160 (1988). Zbl0683.17010MR980506
  13. [13] V.B. Mehta and A. Ramanathan, Frobenius splitting and cohomology vanishing for Schubert varieties, Annals of Math.122 (1985), 27-40. Zbl0601.14043MR799251
  14. [14] V.B. Mehta and V. Srinivas, Normality of Schubert varieties, American J. of Math.109 (1987), 987-989. Zbl0651.14030MR910360
  15. [15] V.B. Mehta and W. van der Kallen, On a Grauert-Riemenschneider vanishing theorem for Frobenius split varieties in characteristic p, to appear in Inventiones Math. Zbl0724.14008MR1156382
  16. [16] A. Ramanathan, Equations defining Schubert varieties and Frobenius splitting of diagonals, Publ. Math. IHES65 (1987), 61-90. Zbl0634.14035MR908216

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