## Title data

Dettweiler, Michael ; Reiter, Stefan:

**Painlevé equations and the middle convolution.**

*In:* Advances in Geometry.
Vol. 7
(2007)
Issue 3
.
- pp. 317-330.

ISSN 1615-7168

DOI: https://doi.org/10.1515/ADVGEOM.2007.019

Review: |

## Abstract in another language

We relate the theory of the middle convolution functor MC λ to the study of algebraic solutions of the sixth Painlevé equation PVI. We interpret some recently found algebraic solutions by Boalch in terms of the middle convolution. Then we show how to obtain algebraic solutions of PVI by starting with triples in GL 2 and applying MC λ . The effect on the underlying Fuchsian systems can be described in a very simple manner.

## Further data

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

Refereed: | Yes |

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 08:45 |

Last Modified: | 05 May 2023 08:45 |

URI: | https://eref.uni-bayreuth.de/id/eprint/75273 |