Skip to main content
SpringerLink
Log in

Embedding holomorphic discs through discrete sets

  • 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. Abraham, R., Marsden, J.E.: Foundations of Mechanics, 2nd. ed. Reading: Benjamin 1987

    Google Scholar 

  2. Alexander, H.: The polynomial hull of a rectifiable curve inC n. Amer. J. Math.110, 629–640 (1988)

    Google Scholar 

  3. Andersén, E.: Volume-preserving automorphisms ofC n. Complex Variables14, 223–235 (1990)

    Google Scholar 

  4. Andersén, E., Lempert, L.: On the group of holomorphic automorphisms ofC n. Inventiones Math.110, 371–388 (1992)

    Google Scholar 

  5. Forstneric, F.: Approximation by automorphisms on smooth submanifolds ofC n. Math. Ann.300, 719–738 (1994)

    Google Scholar 

  6. Forstneric, F., Globevnik, J.: Discs in pseudoconvex domains. Comment. Math. Helvetici67, 129–145 (1992)

    Google Scholar 

  7. Forstneric, F., Globevnik, J., Rosay, J.-P.: Non straightenable complex lines inC 2. Preprint, April 1995

  8. Forstneric, F., Rosay, J.-P.: Approximation of biholomorphic mappings by automorphisms ofC n. Invent. Math.112, 323–349 (1993). Correction, Invent. Math.118, 573–574 (1994)

    Google Scholar 

  9. Globevnik, J.: Relative embeddings of discs into convex domains. Invent. Math.98, 331–350 (1989)

    Google Scholar 

  10. Globevnik, J., Stensønes, B.: Holomorphic embeddings of planar domains intoC 2. Math. Ann. (1995)

  11. Hörmander, L., Wermer, J.: Uniform approximation on compact sets inC n. Math. Scand.23, 5–21 (1968)

    Google Scholar 

  12. Hörmander, L.: An Introduction to Complex Analysis in Several Variables, 3rd ed. Amsterdam: North Holland 1990

    Google Scholar 

  13. Range, R.M. and Siu, Y.T.:C k approximation by holomorphic functions and\(\bar \partial \) forms onC k submanifolds of a complex manifold. Math. Ann.210, 105–122 (1974)

    Google Scholar 

  14. Rosay, J.-P.: Straightening of arcs. (Colloque d'analyse complexe et géométrie, Marseille, 1992, pp. 217–226). Astérisque217, 1993

    Google Scholar 

  15. Rosay, J.-P., Rudin, W.: Holomorphic maps fromC n toC n. Trans. Amer. Math. Soc.310, 47–86 (1988)

    Google Scholar 

  16. Rosay, J.-P., Rudin, W.: Holomorphic embeddings ofC inC n. In Several complex variables: Proceedings of the Mittag Leffler Institute, 1987–88, J.E. Fornaess Ed., 563–569, Math. Notes38, Princeton Univ. Press (1993)

  17. Stolzenberg, G.: Polynomially and rationally convex sets. Acta Math.109, 259–289 (1963)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Wisconsin, 53706, Madison, WI, USA

    Franc Forstneric

  2. Institute of Mathematics, Physics and Mechanics, Jadranska 19, SI-61000, Ljubljana, Slovenia

    Josip Globevnik

  3. Department of Mathematics, University of Michigan, 48109, Ann Arbor, MI, USA

    Berit Stensønes

Authors
  1. Franc Forstneric
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Josip Globevnik
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Berit Stensønes
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported in part by an NSF grant and by a grant from the Ministry of Science of the Republic of Slovenia

Supported in part by a grant from the Ministry of Science of the Republic of Slovenia

Rights and permissions

Reprints and permissions

About this article

Cite this article

Forstneric, F., Globevnik, J. & Stensønes, B. Embedding holomorphic discs through discrete sets. Math. Ann. 305, 559–569 (1996). https://doi.org/10.1007/BF01444237

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01444237

Mathematics Subject Classification (1991)

Search

Navigation