Skip to main content
Log in

Calculation of local Fourier transforms for formal connections

  • Published:
Science in China Series A: Mathematics Aims and scope Submit manuscript

Abstract

We calculate the local Fourier transforms for formal connections. In particular, we verify some formulas analogous to a conjecture of Laumon and Malgrange for ℓ-adic local Fourier transforms.

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.

Similar content being viewed by others

References

  1. Bloch S, Esnault H. Local Fourier transforms and rigidity for D-Modules. Asian J Math, 8(4): 587–605 (2004)

    MATH  MathSciNet  Google Scholar 

  2. López R G. Microlocalization and stationary phase. Asian J Math, 8(4): 747–768 (2004)

    MATH  MathSciNet  Google Scholar 

  3. Laumon G. Transformation de Fourier, constantes d’équations fonctionnelles et conjecture de Weil. Publ Math IHES, 65: 131–210 (1987)

    MATH  MathSciNet  Google Scholar 

  4. Katz N. On the calculation of some differential Galois groups. Invent Math, 87: 13–61 (1986)

    Article  Google Scholar 

  5. Fu L. Calculation of ℓ-adic local Fourier transformations. ArXiv:math/0702436

  6. Sabbah C. An explicit stationary phase formula for the local formal Fourier-Laplace transform. ArXiv:0706.3570.

  7. Deligne P. Équations Différentielles à Points Singuliers Réguliers. Lectures Notes in Math, vol. 163. New York: Springer-Verlag, 1970

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to JiangXue Fang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fang, J. Calculation of local Fourier transforms for formal connections. Sci. China Ser. A-Math. 52, 2195–2206 (2009). https://doi.org/10.1007/s11425-009-0037-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11425-009-0037-3

Keywords

MSC(2000)

Navigation