English

On Hermitian forms over dyadic non-maximal local orders

Number Theory 2010-05-27 v1

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.

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Cite

@article{arxiv.1005.4825,
  title  = {On Hermitian forms over dyadic non-maximal local orders},
  author = {Chia-Fu Yu},
  journal= {arXiv preprint arXiv:1005.4825},
  year   = {2010}
}

Comments

20 pages

R2 v1 2026-06-21T15:28:04.734Z