Skip to main content
SpringerLink
Log in

Holomorphic vector fields on complex surfaces

  • Published:
Mathematische Annalen 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. Atiyah, M. F., Bott, R.: A lefschetz fixed point formula for elliptic complexes I. Ann. of Math.86, 374–407 (1967).

    Google Scholar 

  2. Bott, R.: Vector fields and characteristic numbers. Mich. Math. J.14, 231–244 (1967).

    Google Scholar 

  3. Carrell, J.: Holomorphically injective complex toral actions. Proceedings of the second conference on compact transformation groups. Lecture notes in mathematics299, 205–231 (1972).

    Google Scholar 

  4. Enriques, F.: Le superficie algebriche. N. Zanichelli Editore, Bologna 1949.

  5. Kodaira, K.: On compact analytic surfaces I, II, III. Ann. of Math.71, 111–144 (1960);77, 563–626 (1963);78, 1–40 (1963).

    Google Scholar 

  6. Kodaira, K.: On the structure of compact complex analytic surfaces I, II, III, IV. Amer. J. of Math.86, 751–798 (1964);88, 682–721 (1966);90, 55–83 (1968);90, 1048–1066 (1968).

    Google Scholar 

  7. Kosniowski, C.: Applications of the holomorphic Lefschetz formula, Ball. London: Math. Soc.2, 43–48 (1970).

    Google Scholar 

  8. Lichnerowicz, A.: Varieties Kahleriennes et premier classe de Chern. J. Differential Geom.1, 195–224 (1967).

    Google Scholar 

  9. Matsushima, Y.: Holomorphic vector fields on compact Kaehler manifolds. A.M.S. 1971.

  10. Potters, J.: On almost homogeneous compact complex surfaces. Invent. math.8, 244–266 (1969).

    Google Scholar 

  11. Remmert, R., Van de Ven, A.: Zur Funktionentheorie homogener komplexer Mannigfaltigkeiten. Topology2, 137–157 (1963).

    Google Scholar 

  12. Safarevic, I. R.: Algebraic surfaces. Proceedings of the Steklov Institute of Math. No.75, (A.M.S. 1967) (1965).

Download references

Author information

Authors and Affiliations

  1. Purdue University, 47907, Lafayette, Indiana, USA

    James Carrell

  2. Notre Dame University, 46556, Notre Dame, Indiana, USA

    Alan Howard

  3. S.U.N.Y. at Stony Brook, 11790, Stony Brook, New York, USA

    Czes Kosniowski

Authors
  1. James Carrell
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Alan Howard
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Czes Kosniowski
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Partially supported by a grant from the Purdue Research Foundation.

Partially supported by the National Science Foundation.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Carrell, J., Howard, A. & Kosniowski, C. Holomorphic vector fields on complex surfaces. Math. Ann. 204, 73–81 (1973). https://doi.org/10.1007/BF01431490

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01431490

Keywords

Search

Navigation