Skip to main content

Monodromy and poles of ∫X |f|

Part of the Lecture Notes in Mathematics book series (2766,volume 1194)

Keywords

  • Cohomology Class
  • Hodge Structure
  • Stein Manifold
  • Holonomic System
  • Morphic Function

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. D. Barlet, Développements asymptotiques des fonctions obtenues par intégration dans les fibres, Inv. Math. 68 (1982), p. 129–174.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. D. Barlet, Contribution effective de la monodromie aux développements asymptotiques, Ann. Scient. Ec. Norm. Sup. 4ème série, t. 17 (1984), p. 293–315.

    MathSciNet  MATH  Google Scholar 

  3. D. Barlet, Contribution du cup produit de la fibre de Milnor aux pôles de |f|, Ann. Inst. Fourier (Grenoble) t. 34, fasc. 4 (1984), p. 75–107.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. D. Barlet, Mondromie et pôles de ∫X |f|□, preprint Nancy Avril 84, à paraître au Bull. Soc. Math. France.

    Google Scholar 

  5. D. Barlet et H.M. Maire, Développements asymptotiques, transformation de Mellin complexe et intégration sur les fibres, preprint déc. 84 (Nancy/Genève).

    Google Scholar 

  6. J.N. Bernstein, Prolongement analytique des fonctions généralisées avec paramètres (en russe) Funkts-Analys 6,4 (1972) p. 26–40.

    Google Scholar 

  7. J.E. Björk, Rings of differential operators, North Holland (1979).

    Google Scholar 

  8. M. El Amrani, Singularités des fonctions obtenues par intégration sur la fibre X2 − Y3=s et identités modulaires, Bull. Sci. Math. 2ème série 108 (1984)

    Google Scholar 

  9. M. Kashiwara, b-functions and holonomic systems, rationnality of roots of b-functions, Inv. Math. 38 (1976) p. 33–53.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. M. Kashiwara, Holonomic systems of linear differential equations with regular singularities and related topics in topology, Advanced Studies in Pure Math. 1 1983, Algebraic Varieties and Analytic Varieties p. 49–54.

    Google Scholar 

  11. Lê Dũng Tráng, Some remarks on relative monodromy in Nordic Summer School Symposium in Math. Oslo 1976.

    Google Scholar 

  12. B. Malgrange, Polynômes de Bernstein-Sato et cohomologie évanescente, Astérisque 101 (1982) Soc. Math. France.

    Google Scholar 

  13. J. Milnor, Singular points of complex hypersurfaces, Annals of Math. Studies 61 Princeton University Press 1968.

    Google Scholar 

  14. J. Steenbrink, Mixed Hodge structure on the vanishing cohomology in Nordic Summer School Symposium in Math. Oslo 1976.

    Google Scholar 

  15. A. Varchenko, Mixed Hodge structure on the vanishing cohomology, Izv. Akad. Nauk SSSR sci. math. 45, 3 (1981) p. 540–591.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1986 Springer-Verlag

About this paper

Cite this paper

Barlet, D. (1986). Monodromy and poles of ∫X |f|□. In: Grauert, H. (eds) Complex Analysis and Algebraic Geometry. Lecture Notes in Mathematics, vol 1194. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076990

Download citation

  • DOI: https://doi.org/10.1007/BFb0076990

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16490-6

  • Online ISBN: 978-3-540-39829-5

  • eBook Packages: Springer Book Archive