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math.NT/0605444

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Title: Abelian Varieties over Cyclic Fields
Authors: Bo-Hae Im, Michael Larsen
Categories: math.NT Number Theory (math.AG Algebraic Geometry)
Comments: 15 pages; minor changes
MSC: 11G10

Abstract: Let K be a field not of characteristic 2 such that every finite separable extension of K is cyclic. Let A be an abelian variety over K. If K is infinite, then A(K) is Zariski-dense in A. If K is not locally finite, the rank of A over K is infinite.

Owner: Michael Larsen
Version 1: Tue, 16 May 2006 16:46:26 GMT
Version 2: Tue, 23 May 2006 02:08:25 GMT
Version 3: Thu, 1 Jun 2006 14:51:18 GMT

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