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Rigid irregular connections on ℙ1

Part of: Differential equations in the complex domain (Co)homology theory

Published online by Cambridge University Press:  22 April 2010

D. Arinkin
D. Arinkin*
Affiliation:
Department of Mathematics, University of North Carolina, Chapel Hill, NC, USA (email: arinkin@email.unc.edu)
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Abstract

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Katz’s middle convolution algorithm provides a description of rigid connections on ℙ1 with regular singularities. We extend the algorithm by adding the Fourier transform to it. The extended algorithm provides a description of rigid connections with arbitrary singularities.

Keywords

rigid connectionsirregular singularitiesKatz’s middle convolution algorithm

MSC classification

Secondary: 14F10: Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials 34M35: Singularities, monodromy, local behavior of solutions, normal forms
Type
Research Article
Information
Compositio Mathematica , Volume 146 , Issue 5 , September 2010 , pp. 1323 - 1338
Copyright
Copyright © Foundation Compositio Mathematica 2010

References

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