Cohomology of line bundles on G / B

Henning Haahr Andersen

Annales scientifiques de l'École Normale Supérieure (1979)

  • Volume: 12, Issue: 1, page 85-100
  • ISSN: 0012-9593

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Andersen, Henning Haahr. "Cohomology of line bundles on $G/B$." Annales scientifiques de l'École Normale Supérieure 12.1 (1979): 85-100. <http://eudml.org/doc/82032>.

@article{Andersen1979,
author = {Andersen, Henning Haahr},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {connected algebraic group; Borel subgroup; maximal torus; simple roots; character; induced line bundle},
language = {eng},
number = {1},
pages = {85-100},
publisher = {Elsevier},
title = {Cohomology of line bundles on $G/B$},
url = {http://eudml.org/doc/82032},
volume = {12},
year = {1979},
}

TY - JOUR
AU - Andersen, Henning Haahr
TI - Cohomology of line bundles on $G/B$
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1979
PB - Elsevier
VL - 12
IS - 1
SP - 85
EP - 100
LA - eng
KW - connected algebraic group; Borel subgroup; maximal torus; simple roots; character; induced line bundle
UR - http://eudml.org/doc/82032
ER -

References

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  1. [1] H. H. ANDERSEN, On Schubert Varieties in G/B and Bott's Theorem (Thesis, M.I.T., 1977). 
  2. [2] H. H. ANDERSEN, Schubert Varieties in G/B (to appear). 
  3. [3] L. BAI, C. MUSILI and C. S. SESHADRI, Cohomology of Line Bundles on G/B (Ann. scient. Éc. Norm. Sup., t. 7, 1974, pp. 89-138). Zbl0338.14017MR50 #7175
  4. [4] M. DEMAZURE, A Very Simple Proof of Bott's Theorem, (Invent. Math., Vol. 33. 1976, pp. 271-272). Zbl0383.14017MR54 #2670
  5. [5] W. L. Jr. GRIFFITH, Cohomology of Line Bundles in Characteristic p (to appear). 
  6. [6] J. E. HUMPHREYS, Ordinary and Modular Representations of Chevalley Groups (Lect. Notes in Math., No. 528, 1976). Zbl0341.20037MR56 #12137
  7. [7] J. E. HUMPHREYS, Weyl Modules and Bott's Theorem in Characteristic p (Seminar on Lie Theories, Queen's Papers in Pure and Applied Math., 1978). Zbl0395.20023MR58 #28013
  8. [8] B. IVERSEN, The Geometry of Algebraic Groups (Adv. in Math., Vol. 20, 1976, pp. 57-58). Zbl0327.14015MR53 #2965
  9. [9] G. KEMPF, Linear Systems on Homogeneous Spaces (Ann. of Math., Vol. 103, 1976, pp. 557-591). Zbl0327.14016MR53 #13229
  10. [10] C. S. SESHADRI, Cohomology of Line Bundles on SL3/B (Notes of a lecture at I.A.S., 1976). 

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