Skip to main content
Log in

Relative vanishing theorems I: applications to ample divisors

  • Published:
Commentarii Mathematici Helvetici

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

Access this article

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

Instant access to the full article PDF.

Bibliography

  1. Andreotti, A. andFrankel, T.,The Lefschetz theorem on hyperplane sections, Ann. of Math.69 (1959), 712–717.

    Article  MathSciNet  Google Scholar 

  2. — andVesentini, E.,Carleman estimates for the Laplace-Beltrami equation on complex manifolds, Publ. IHES,95 (1965), 81–130.

    MathSciNet  Google Scholar 

  3. Grauert, H. andRiemenschneider, O.,Verschwindungssatz für analytische Kohomologiegruppen auf komplexen Räumen, Invent. Math.11 (1970), 263–292.

    Article  MATH  MathSciNet  Google Scholar 

  4. Griffiths, P. A.,The extension problem in complex analysis II. Amer. J. of Math.88 (1966), 366–446.

    Article  MATH  Google Scholar 

  5. Hironaka, H.,Flattening Theorem in Complex Analytic Geometry. Amer. J. of Math.97 (1975), 503–547.

    Article  MATH  MathSciNet  Google Scholar 

  6. Knörr, K. andSchneider, M.,Relativexzeptionelle analytischen Mengen, Math. Ann.193 (1971), 238–254.

    Article  MathSciNet  Google Scholar 

  7. Kobayashi, S. andOchiai, T.,Characterization of complex projective spaces and hyperquadrics. J. of Math. Kyoto Univ.13 (1972), 31–47.

    MathSciNet  Google Scholar 

  8. Nakano, S.,Vanishing theorem for weakly 1-complete manifolds,in Number theory, algebraic geometry and commutative algebra, in honor of Y. Akizuki, Kinokuniya, Tokyo 1973, 169–179.

    Google Scholar 

  9. Serre, J. P.,Faisceaux algébriques cohèrents. Ann. of Math.61 (1955), 197–278.

    Article  MathSciNet  Google Scholar 

  10. Sommese, A. J., Addendum to “Criteria for Quasi-projectivity”, Math. Ann.221 (1976), 95–96.

    Article  MATH  MathSciNet  Google Scholar 

  11. —,On manifolds that cannot be ample divisors, Math. Ann.221 (1976), 55–72.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Silva, A. Relative vanishing theorems I: applications to ample divisors. Commentarii Mathematici Helvetici 52, 483–489 (1977). https://doi.org/10.1007/BF02567380

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02567380

Keywords

Navigation