## Title data

Dettweiler, Michael ; Reiter, Stefan:

**Middle convolution of Fuchsian systems and the construction of rigid differential systems.**

*In:* Journal of Algebra.
Vol. 318
(2007)
Issue 1
.
- pp. 1-24.

ISSN 1090-266X

DOI: https://doi.org/10.1016/j.jalgebra.2007.08.029

Review: |

## Abstract in another language

In [M. Dettweiler, S. Reiter, An algorithm of Katz and its application to the inverse Galois problem, J. Symbolic Comput. 30 (2000) 761–798], a purely algebraic analogon of Katz' middle convolution functor (see [N.M. Katz, Rigid Local Systems, Ann. of Math. Stud., vol. 139, Princeton University Press, 1997]) is given. In this paper, we find an explicit Riemann–Hilbert correspondence for this functor. This leads to a construction algorithm for differential systems which correspond to rigid local systems on the punctured affine line via the Riemann–Hilbert correspondence.

## Further data

Item Type: | Article in a journal |
---|---|

Refereed: | Yes |

Keywords: | Middle convolution; Fucsian systems; Deligne-Simpson problem |

Institutions of the University: | Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics IV (Number Theory) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics IV (Number Theory) > Chair Mathematics IV (Number Theorie) - Univ.-Prof. Dr. Michael Dettweiler |

Result of work at the UBT: | No |

DDC Subjects: | 500 Science > 510 Mathematics |

Date Deposited: | 05 May 2023 08:49 |

Last Modified: | 05 May 2023 08:49 |

URI: | https://eref.uni-bayreuth.de/id/eprint/75278 |