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Introduction

  • Jan-Erik Björk
Chapter
  • 481 Downloads
Part of the Mathematics and Its Applications book series (MAIA, volume 247)

Abstract

On a complex analytic manifold there exists the sheaf D X of differential operators with holomorphic coefficients. This is a coherent sheaf of rings, but in contrast to the sheaf O X it is non-commutative which leads to more involved ring-theoretic problems as compared with O-module theory. Analytic D-module theory is devoted to the study of sheaves of D X -modules, left or right. In most applications there occur coherent modules which locally are quotients of free D X -modules of finite rank. Therefore coherent D X -modules correspond to systems of differential equations with analytic coefficients. Of course, these systems are over-determined in general.

Keywords

Finite Rank Coherent Sheaf Coherent Module Fuchsian System Regular Singularity 
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.

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Copyright information

© Springer Science+Business Media Dordrecht 1993

Authors and Affiliations

  • Jan-Erik Björk
    • 1
  1. 1.Department of MathematicsStockholm UniversityStockholmSweden

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