Skip to main content
SpringerLink
Log in
Book cover

Equations Différentielles et Systèmes de Pfaff dans le Champ Complexe pp 325–364Cite as

The problems of Riemann and Hilbert and the relations of fuchs in several complex variables

  • Partie B: Systèmes De Pfaff Dans Le Champ Complexe
  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 712))

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

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (USA)
  • 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. Deligne,P. Equations differentielles à points singuliers réguliers, Lecture notes in Mathematics, 163, Springer, 1970.

    Google Scholar 

  2. Gerard, R. Le problème de Riemann Hilbert sur une variété analytique complex, Ann. Inst. Fourier, Grenoble 19, 2(1969), 1–12.

    Article  MathSciNet  MATH  Google Scholar 

  3. Kodaira, K. Green's forms and meromorphic functions on compact analytic varieties, Canada. Jour. Math., vol 3 (1951), 108–128.

    Article  MathSciNet  MATH  Google Scholar 

  4. Manin, Y. Moduli Fuchsiani, Annali Socola Normale Sup di Pisa Ser III 19 (1965), 113–126.

    MathSciNet  MATH  Google Scholar 

  5. Otuki, M. Chern class formula for a holomorphic vector bundle with an integrable logarithmic connection, to appear.

    Google Scholar 

  6. Röhrl, H. Das Riemannsch-Hilbertsche Problem der Theorie der linieren Differentialgleichungen, Math. Ann., 133 (1957), 1–25.

    Article  MathSciNet  MATH  Google Scholar 

  7. Saito, T. On Fuchs' relation for the differential equation with algebraic coefficients, Kodai Math. Sem. Rep., 10 (1958), 101–104.

    Article  MathSciNet  MATH  Google Scholar 

  8. Suzuki, O. Remarks on examples of 2-dimensional weakly 1-complete manifolds which admit only constant holomorphic functions, to appear in J. Fac. Sci. Univ. Tokyo, Sec IA.

    Google Scholar 

  9. Weil, A. Généralisation des fonctions abéliennes, Jour. Math. pure et appl, 17 (1938) 47–87.

    MATH  Google Scholar 

  10. —. Introduction a l'Etude des Varieties Kähleriennes, Hermann, Paris, 1958.

    MATH  Google Scholar 

  11. Katz, N. M. An overview of Deligne's work on Hilbert's twenty-first problem, Proc. Sym. in Pure Math. 28 (1976), 537–557, Amer. Math. Soc.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Departments of Mathematics College of Humanities and Sciences, Nihon University, Japan

    Osamu Suzuki

  2. Departments of Mathematics, University of Göttingen, Germany

    Osamu Suzuki

Authors
  1. Osamu Suzuki
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Raymond Gérard Jean-Pierre Ramis

Rights and permissions

Reprints and permissions

Copyright information

© 1979 Springer-Verlag

About this paper

Cite this paper

Suzuki, O. (1979). The problems of Riemann and Hilbert and the relations of fuchs in several complex variables. In: Gérard, R., Ramis, JP. (eds) Equations Différentielles et Systèmes de Pfaff dans le Champ Complexe. Lecture Notes in Mathematics, vol 712. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062822

Download citation

  • DOI: https://doi.org/10.1007/BFb0062822

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09250-6

  • Online ISBN: 978-3-540-35314-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation