On Hermitian forms over dyadic non-maximal local orders

Mathematics – Number Theory

Scientific paper

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20 pages

Scientific paper

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.

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