Skip to main content
SpringerLink
Log in

On the length of an extremal rational curve

  • Published:
Inventiones mathematicae Aims and scope

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.

References

  • [I] Ionescu, P.: Generalized adjunction and applications. Math. Proc. Camb. Philos. Soc.99, 457–472 (1986)

    Google Scholar 

  • [Ka1] Kawamata, Y.: The cone of curves of algebraic varieties. Ann. Math.119, 603–633 (1984)

    Google Scholar 

  • [Ka2] Kawamata, Y.: Moderate degenerations of algebraic surfaces. Proc. Symp. Bayreuth 1990 (to appear)

  • [KMM] Kawamata, Y., Matsuda, K., Matsuki, K.: Introduction to the minimal model problem. In: Oda, T. (ed.) Algebraic Geometry. Proc. Symp., Sendai 1985. (Adv. Stud. Pure Math. vol. 10, pp. 283–360) Tokyo: Kinokuniyo 1987

    Google Scholar 

  • [Ko] Kollár, J.: The cone theorem: Note to [Ka1]. Ann. Math.120, 1–5 (1984)

    Google Scholar 

  • [MM] Miyaoka, Y., Mori, S.: A numerical criterion of uniruledness. Ann. Math.124, 65–69 (1986)

    Google Scholar 

  • [M] Mori, S.: Threefolds whose canonical bundles are not numerically effective. Ann. Math.116, 133–176 (1982)

    Google Scholar 

  • [N] Nakayama, N.: The lower semi-continuity of the plurigenera of complex varieties. In: Oda, T. (ed.) Algebraic Geometry. Proc. Symp., Sendai 1985. (Adv. Stud. Pure Math. vol. 10, pp. 551–590) Tokyo: Kinokuniya 1987

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Tokyo, Hongo, Bunkyo, 113, Tokyo, Japan

    Yujiro Kawamata

Authors
  1. Yujiro Kawamata
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dedicated to Professor Heisuke Hironaka on his sixtieth birthday

Oblatum 20-XI-1990

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kawamata, Y. On the length of an extremal rational curve. Invent Math 105, 609–611 (1991). https://doi.org/10.1007/BF01232281

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01232281

Keywords

Search

Navigation