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Moduli spaces of nilpotent displays

Algebraic Geometry 2024-04-17 v1 Number Theory

Abstract

We show that the moduli problem of deformations of nilpotent displays by quasi-isogenies is representable, without using pp-divisible groups. The main ingredients are Artin's criterion and the theory of truncated displays. This gives in particular a new proof for the representability of Rapoport-Zink spaces.

Keywords

Cite

@article{arxiv.2404.10132,
  title  = {Moduli spaces of nilpotent displays},
  author = {Sebastian Bartling and Manuel Hoff},
  journal= {arXiv preprint arXiv:2404.10132},
  year   = {2024}
}

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20 pages