Middle Convolution and Galois Realizations

Titelangaben

Dettweiler, Michael:
Middle Convolution and Galois Realizations.
In: Hashimoto, Ki-ichiro ; Miyake, Katsuya ; Nakamura, Hiroaki (Hrsg.): Galois Theory and Modular Forms. - Boston, MA : Springer , 2004 . - S. 143-158 . - (Developments in Mathematics ; 11 )
ISBN 978-1-4613-0249-0
DOI: https://doi.org/10.1007/978-1-4613-0249-0_7

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Abstract

The theory of the middle convolution is combined with the theory of curves on Hurwitz spaces. This leads to the following theorem: The projective symplectic groups PSP 2n (Fp2) occur ℚ-regularly as Galois groups over ℚ(t) if p is an odd prime≢ ±1 mod 24.