Skip to main content
SpringerLink
Log in

The asymptotic behavior of plurigenera for a normal isolated singularity

  • 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. Artin, M.: Algebraic approximation of structure over complete local ring. Publ. Math. IHES36, 23–58 (1969)

    Article  MathSciNet  MATH  Google Scholar 

  2. Bourbaki, N.: Topologie générale. Chap. 9. Paris: Hermann 1958

    MATH  Google Scholar 

  3. Grothendieck, A., Dieudonné, J.: Eléments de géométrie algébrique II. Publ. Math. IHES8, (1961)

  4. Iitaka, S.: On D-dimensions of algegraic varieties. J. Math. Soc. Japan23, 356–373 (1971)

    Article  MathSciNet  MATH  Google Scholar 

  5. Ilaka, S.: On logarithmic Kodaira dimension of algebraic varieties. Complex analysis and algebraic geometry: A collection of papers dedicated to K. Kodaira. pp. 175–189. Iwanami-Cambridge 1977

  6. Ishii, S.: On isolated Gorenstein singularities. Math. Ann.270, 541–554 (1985)

    Article  MathSciNet  MATH  Google Scholar 

  7. Ishii, S.: Isolated ℚ-Gorenstein singularities of dimension three. Adv. Stud. Pure Math.8, 165–198 (1986)

    MathSciNet  Google Scholar 

  8. Ishii, S.: Small deformation of normal singularities. Math. Ann.275, 139–148 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  9. Ishii, S.: Two dimensional singularities with bounded plurigenera δ are ℚ-Gorenstein singularities. To appear in Proc. of Symp. of Singularities Iowa

  10. Izumi, S.: A measure of integrity for local analytic algebras. Publ. RIMS, Kyoto Univ21, 719–735 (1985)

    Article  MathSciNet  MATH  Google Scholar 

  11. Kawamata, Y.: The cone of curves of algebraic varieties, Ann. Math.119, 95–110 (1984)

    Article  MathSciNet  MATH  Google Scholar 

  12. Knöller, F.W.: 2-dimensionale Singularitäten und Differentialformen. Math. Ann.206, 205–213 (1973)

    Article  MathSciNet  MATH  Google Scholar 

  13. Lejeune-Jalabert, M., Teissier, B.: Clôture integrale des idéaux et équisingularite. École Polytechnique 1974

  14. Morales, M.: Resolution of quasi-homogeneous singularities, plurigeneras. Comps. Math.64, 311–327 (1987)

    MATH  Google Scholar 

  15. Sakai, F.: Kodaira dimensions of complements of divisors. Complex analysis and algebraic geometry: A collection of papers dedicated to K. Kodaira. pp. 239–257. Iwanami-Cambridge 1977

  16. Stevens, J.: On canonical singularities as total spaces of deformations. Preprint 1988

  17. Tomari, M., Watanabe, K.: Not-log-canonical Gorenstein isolated singularities are of general type in the sense ofL 2-plurigenera of singularities. Preprint 1988

  18. Ueno, K.: Classification theory of algebraic varieties and compact complex spaces. (Lecture Notes Mathematics, Vol. 439. Berlin Heidelberg New York: Springer 1975

    MATH  Google Scholar 

  19. Watanabe, K.: On plurigenera of normal isolated singularities I. Math. Ann.250, 65–94 (1980)

    Article  MathSciNet  MATH  Google Scholar 

  20. Watanabe, K.: On plurigenera of normal isolated singularities II. Advanced Studies in Pure Math. Vol. 8 pp. 671–685. Complex Analytic Singularities 1986

    MathSciNet  Google Scholar 

Download references

Author information

Author notes

  1. Shihoko Ishii

    Present address: Department of Mathematics, Tokyo Institute of Technology, Oh-okayarna, Meguro-ku, Tokyo, Japan

Authors and Affiliations

  1. Department of Mathematics, Kyushu University, Hakozaki 6-10, Higashi-ku, 812, Fukuoka, Japan

    Shihoko Ishii

Authors
  1. Shihoko Ishii
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ishii, S. The asymptotic behavior of plurigenera for a normal isolated singularity. Math. Ann. 286, 803–812 (1990). https://doi.org/10.1007/BF01453603

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01453603

Keywords

Search

Navigation