English

Integral models of Shimura varieties with parahoric level structure, II

Number Theory 2026-04-10 v3 Algebraic Geometry

Abstract

We construct integral models of Shimura varieties of abelian type with parahoric level structure over odd primes. These models are \'etale locally isomorphic to corresponding local models.

Keywords

Cite

@article{arxiv.2409.03689,
  title  = {Integral models of Shimura varieties with parahoric level structure, II},
  author = {Mark Kisin and Georgios Pappas and Rong Zhou},
  journal= {arXiv preprint arXiv:2409.03689},
  year   = {2026}
}

Comments

94 pages. Revised according to referees' comments, including improvements to section 5. Final version, to appear in Forum Math. Pi