paper

On Hermitian forms over dyadic non-maximal local orders

arXiv:1005.4825

Abstract

We reduce a study of polarized abelian varieties over finite fields to the classification problem of skew-Hermitian modules over (possibly non-maximal) local orders. The main result of this paper gives a complete classification of these skew-Hermitian modules in the case when the ground ring is a dyadic non-maximal local order.

20 pages

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