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Introduction to Dieudonn\'e modules and supersingular abelian varieties revisited

Number Theory 2026-03-13 v1

Abstract

In this Note we present an expository account for \dieu modules and revisit supersingular abelian varieties. We give a simple proof of the uniqueness of products of two or more supersingular elliptic curves (a theorem due to Deligne, Ogus and Shioda), and of Oort's theorem for superspecial abelian varieties.

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Cite

@article{arxiv.2603.11506,
  title  = {Introduction to Dieudonn\'e modules and supersingular abelian varieties revisited},
  author = {Chia-Fu Yu},
  journal= {arXiv preprint arXiv:2603.11506},
  year   = {2026}
}

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20 pages