Abelian varieties and Galois module structure in global function fields
type: Item
instance of: scholarly article
title: Abelian varieties and Galois module structure in global function fields
zbMATH Open document ID: 0863.11078
DOI: 10.1007/BF02571951
published in: Mathematische Zeitschrift
publication date: 1995-05-01T00:00:00Z
full work available at URL: https://eudml.org/doc/174697
review text: This paper gives a function field analogue of the work of M. J. Taylor on the Galois module structure of certain Kummer orders associated to points on abelian varieties over number fields. A condition in terms of the point is given which implies that the Galois module is not free. Moreover a geometric interpretation of the construction is given. This is used to show how the zeta-function of the abelian variety gives precise information on the question of which modules arise in this way.
Mathematics Subject Classification ID: 11R33
Mathematics Subject Classification ID: 14K15
Mathematics Subject Classification ID: 11G10
zbMATH DE Number: 737170
zbMATH Keywords: function field
zbMATH Keywords: Galois module structure
zbMATH Keywords: Kummer orders
zbMATH Keywords: abelian varieties over number fields
zbMATH Keywords: zeta-function
author: A. Agboola
reviewed by: J. Brinkhuis
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 737170