Skip to main content
SpringerLink
Log in

Cohomology of projective varieties with regular SL2 actions

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. AKYILDIZ, E.: Bruhat decomposition via Gm-action, Bull. Acad. Pol. Sci., Sér. Sci. Math.28, 541–547 (1980)

    Google Scholar 

  2. AKYILDIZ, E.: Vector fields and equivariant bundles, Pac. Jour. of Math.,81, 283–289 (1979)

    Google Scholar 

  3. AKYILDIZ, E.: Vector fields and cohomology of G/P, Lecture Notes in Mathematics956, Springer-Verlag, 1–9 (1982)

  4. AKYILDIZ, E., CARRELL, J.B., LIEBERMAN, D.I.: Zeros of holomorphic vector fields on singular spaces and intersection rings of Schubert varieties, Compositio Math.57, 237–248 (1986)

    Google Scholar 

  5. AKYILDIZ, E., CARRELL, J.B., LIEBERMAN, D.I., SOMMESE, A.J.: On the graded rings associated to holomorphic vector fields with exactly one zero, Proc. Symp. Pure Math.40, 55–56 (1983)

    Google Scholar 

  6. BORHO, W., KRAFT, H.: Über Bahnen und deren Deformation bei linearen Aktionen reduktiver Gruppen, Comment. Math. Helv.54, 61–104 (1979)

    Google Scholar 

  7. CARRELL, J.B.: Vector fields and cohomology of G/B, Progress in Math.14, Birkhauser, 57–65 (1981)

  8. CARRELL, J.B., LIEBERMAN, D.I.: Holomorphic vector fields and compact Kaehler manifolds, Invent. Math.21, 303–309 (1973)

    Google Scholar 

  9. CARRELL, J.B., LIEBERMAN, D.I.: Vector fields and Chern numbers, Math. Ann.225, 263–273 (1977)

    Google Scholar 

  10. CARRELL, J.B., SOMMESE, A.J.: SL(2, C) actions on compact Kaehler manifolds, Tran. of Amer. Math. Soc.276, 165–179 (1983)

    Google Scholar 

  11. GRIFFITHS, P., HARRIS, H.: Principles of Algebraic Geometry, John Wiley and Sons, New York (1978)

    Google Scholar 

  12. KOSTANT, B.: The principal three-dimensional subgroup and the Betti numbers of complex semisimple Lie group, Amer. Jour. Math.81, 973–1032 (1959)

    Google Scholar 

  13. KOSTANT, B.: Lie group presentations on polynomial rings, Amer. Jour. Math.85, 327–404 (1963)

    Google Scholar 

  14. KOSTANT, B.: On Whittaker vectors and representation theory, Invent. Math.48, 101–184 (1978)

    Google Scholar 

  15. KRAFT, H.: Conjugacy classes and Weyl group representations, Astérisque 87–88, 191–205 (1981)

Download references

Author information

Authors and Affiliations

  1. UPM #84, University of Petroleum & Minerals, 31261, Dhahran, Saudi Arabia

    E. Akyildiz

  2. Department of Mathematics, University of British Columbia, V6T 1Y4, Vancouver, B.C.

    J. B. Carrell

Authors
  1. E. Akyildiz
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. B. Carrell
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Partially supported by the University of Petroleum and Minerals Research Project MS/Action/86

Partially supported by a grant of the Natural Sciences and Engineering Research Council of Canada

Rights and permissions

Reprints and permissions

About this article

Cite this article

Akyildiz, E., Carrell, J.B. Cohomology of projective varieties with regular SL2 actions. Manuscripta Math 58, 473–486 (1987). https://doi.org/10.1007/BF01277605

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01277605

Keywords

Search

Navigation