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On the middle convolution | | Michael Dettweiler
; Stefan Reiter
; | | Date: |
22 May 2003 | | Subject: | Algebraic Geometry; Classical Analysis and ODEs MSC-class: 34A05; 34M50; 34M35 | math.AG math.CA | | Affiliation: | Heidelberg) and Stefan Reiter (Toulouse | | Abstract: | We present a cohomological interpretation of the middle convolution functor MC and find an explicit Riemann-Hilbert correspondence for MC_lambda. This leads to an algorithm for the construction of Fuchsian systems which correspond to irreducible rigid local systems under the Riemann-Hilbert correspondence. Also, the effect of MC_lambda on the p-curvatures ist determined and new examples of differential systems are found which satisfy the Grothendieck-Katz p-curvature conjecture. | | Source: | arXiv, math.AG/0305311 | | Services: | Forum | Review | PDF | Favorites | |
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