Galois groups of Mori trinomials and hyperelliptic curves with big monodromy

We compute the Galois groups for a certain class of polynomials over the the field of rational numbers that was introduced by Shigefumi Mori and study the monodromy of corresponding hyperelliptic jacobians.

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Bibliographic Details
Published in:	European journal of mathematics Vol. 2; no. 1; pp. 360 - 381
Main Author:	Zarhin, Yuri G.
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01-03-2016 Springer Nature B.V
Subjects:	Algebraic Geometry Jacobians Mathematics Mathematics and Statistics Numbers Research Article Hyperelliptic curves Tate modules Abelian varieties 14K05 Galois groups 14H40 11G30 11G10
Online Access:	Get full text
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Description
Summary:	We compute the Galois groups for a certain class of polynomials over the the field of rational numbers that was introduced by Shigefumi Mori and study the monodromy of corresponding hyperelliptic jacobians.
ISSN:	2199-675X 2199-6768
DOI:	10.1007/s40879-015-0048-2