Jacobians with complex multiplication

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 1991 Netherlands English Publisher:Birkhäuser Boston

Authors: Jong, A.J. de; Noot, R.;

doi: 10.1007/978-1-4612-0457-2_8

Jacobians with complex multiplication

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Abstract

In this paper we will say that a simple abelian variety X is of CM type if there is a number field K with [K: Q] = 2 dim(X) such that K ⊂ End°(X). If X is any abelian variety, then we will say that X is of CM type if all its simple factors are. Equivalently, X is of CM type if there are number fields K i such that Σ[K i: Q] = 2dim(X) and ⊕K i ⊂ End°(X).

Country

Netherlands

Related Organizations

Radboud University Nijmegen
Netherlands

Keywords

Geometry

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