Arithmetical-Geometrical Galois Representations and the Inverse Galois Problem

Núria Vila

A chapter in Algebra, Arithmetic and Geometry with Applications, 2004, pp 775-782 from Springer

Abstract: Abstract The aim of this paper is to report on Galois realizations of finite groups over ℚ obtained from Galois representation associated to arithmetical-geometrical objects, i.e. attached to some abelian varieties or to certain modular forms. Using this method, new families of finite groups, linear groups over finite fields, appear as Galois groups over ℚ.

Keywords: Modular Form; Elliptic Curve; Galois Group; Galois Representation; Abelian Surface (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18487-1_48

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DOI: 10.1007/978-3-642-18487-1_48

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