Zeros of holomorphic vector fields on singular spaces and intersection rings of Schubert varieties

E. Akyildiz; J. B. Carrell; D. I. Lieberman

Compositio Mathematica (1986)

  • Volume: 57, Issue: 2, page 237-248
  • ISSN: 0010-437X

How to cite

top

Akyildiz, E., Carrell, J. B., and Lieberman, D. I.. "Zeros of holomorphic vector fields on singular spaces and intersection rings of Schubert varieties." Compositio Mathematica 57.2 (1986): 237-248. <http://eudml.org/doc/89755>.

@article{Akyildiz1986,
author = {Akyildiz, E., Carrell, J. B., Lieberman, D. I.},
journal = {Compositio Mathematica},
keywords = {toric action; cohomology rings of invariant subvarieties; holomorphic vector field; cohomology algebra of a Schubert variety},
language = {eng},
number = {2},
pages = {237-248},
publisher = {Martinus Nijhoff Publishers},
title = {Zeros of holomorphic vector fields on singular spaces and intersection rings of Schubert varieties},
url = {http://eudml.org/doc/89755},
volume = {57},
year = {1986},
}

TY - JOUR
AU - Akyildiz, E.
AU - Carrell, J. B.
AU - Lieberman, D. I.
TI - Zeros of holomorphic vector fields on singular spaces and intersection rings of Schubert varieties
JO - Compositio Mathematica
PY - 1986
PB - Martinus Nijhoff Publishers
VL - 57
IS - 2
SP - 237
EP - 248
LA - eng
KW - toric action; cohomology rings of invariant subvarieties; holomorphic vector field; cohomology algebra of a Schubert variety
UR - http://eudml.org/doc/89755
ER -

References

top
  1. [A] E. Akyildiz: Vector fields and cohomology of G/P, Lecture Notes in Math., Vol. 956 (1981). Zbl0498.14025MR704982
  2. [ACLS1] E. Akyildiz, J.B. Carrell, D.I. Lieberman and A.J. Sommese: Graded rings associated to holomorphic vector fields with a unique zero. Proc. of Symp. in Pure Mathematics: Singularities, Vol. 40 (1983) 55. Zbl0523.57031MR713045
  3. [ACLS 2] E. Akyildiz, J.B. Carrell, D.I. Lieberman and A.J. Sommese: Graded rings associated to holomorphic vector fields with a unique zero. Preprint. Zbl0523.57031
  4. [BGG] I.N. Bernstein, I.M. Gel'fand and S.I. Gel'fand: Schubert cells and cohomology of the space G/P, Russian Math. Surveys28 (1973) 1-26. Zbl0289.57024MR429933
  5. [C 1] J.B. Carrell: Vector fields and the cohomology of G/B. Manifolds and Lie groups, Papers in honor of Y. Matsushima. Progress in Mathematics, Vol. 14Birkhauser, Boston (1981). Zbl0482.57017MR642851
  6. [C 2] J.B. Carrell: Orbits of the Weyl group and a theorem of DeConcini and Procesi. Preprint. Zbl0613.20029
  7. [CL1] J.B. Carrell and D.I. Lieberman: Holomorphic vector fields and compact Kaehler manifolds, Inventiones Math.21 (1973) 303-309. Zbl0253.32017MR326010
  8. [CL2] J.B. Carrell and D.I. Lieberman: Vector fields and Chern numbers, Math. Annalen, 225 (1977) 263-273. Zbl0365.32020MR435456
  9. [CL3] J.B. Carrell and D.I. Lieberman: Vector fields, Chern classes and cohomology, Proc. Symp. Pure Math., Vol. 30 (1977) 251-254. Zbl0365.32019MR460734
  10. [CS] J.B. Carrell and A.J. Sommese, Some topological aspects of C*-actions on compact Kaehler manifolds, Comment. Math. Helv.54 (1979) 567-582. Zbl0466.32015MR552677
  11. [DP] C. Deconcini and C. Procesi: Symmetric functions, conjugacy classes, and the flag variety, Invent. Math., 64 (1981) 203-219. Zbl0475.14041MR629470
  12. [D] P. Deligne: Théorie de Hodge, III. Inst. Hautes Etudes Sci. Publ. Math., Vol. 44 (1972) 5-77. Zbl0237.14003MR498552
  13. [F] A. Fujiki: Fixed points of the actions on compact Kaehler manifolds, Publ. RIMS, Kyoto Univ.15 (1979) 1-45. Zbl0446.53021MR566083
  14. [GH] P. Griffiths and J. Harris: Principles of Algebraic Geometry, John Wiley and Sons, New York (1978). Zbl0408.14001MR507725
  15. [H] H. Hironaka: Bimeromorphic smoothing of a complex analytic space, Math. Inst. Warwick Univ., England (1971). Zbl0407.32006
  16. [Ku1] S. Kumar: Geometry of Schubert cells and cohomology of Kac-Moody Lie algebras, J. of Diff. Geometry20 (1984) 389-432. MR788286
  17. [Ku 2] S. Kumar: Cohomology algebra of Schubert varieties associated to Kac-Moody groups, to appear in proceedings of the CMS Seminar in Algebraic Geometry, Vancouver (1984). Zbl0591.14037MR846024

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.