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math.AG2000
On the existence of absolutely simple abelian varieties of a given dimension over an arbitrary field
Everett W. Howe, Hui June Zhu
We prove that for every field k and every positive integer n, there exists an absolutely simple n-dimensional abelian variety over k. We also prove an asymptotic result for finite…
math.AG2000★ 16 cited
Isogeny classes of abelian varieties with no principal polarizations
Everett W. Howe
We provide a simple method of constructing isogeny classes of abelian varieties over certain fields such that no variety in the isogeny class has a principal polarization. In p…