## Title data

Dettweiler, Michael ; Wewers, Stefan:

**Variation of local systems and parabolic cohomology.**

*In:* Israel Journal of Mathematics.
Vol. 156
(2006)
.
- pp. 157-185.

ISSN 1565-8511

DOI: https://doi.org/10.1007/BF02773830

Review: |

## Abstract in another language

Given a family of local systems on a punctured Riemann sphere, with moving singularities, its first parabolic cohomology is a local system on the base space. We study this situation from different points of view. For instance, we derive universal formulas for the monodromy of the resulting local system. We use a particular example of our construction to prove that the simple groups PSL2 (p~) admit regular realizations over the field Q(t) for primes p ~ 1, 4,16 mod 21.

## 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 08:31 |

Last Modified: | 05 May 2023 08:31 |

URI: | https://eref.uni-bayreuth.de/id/eprint/75256 |