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math.NT2018
Arithmetic models for Shimura varieties
Georgios Pappas
We describe recent work on the construction of well-behaved arithmetic models for large classes of Shimura varieties and report on progress in the study of these models.
math.AG2018
Good and semi-stable reductions of Shimura varieties
X. He, G. Pappas, M. Rapoport
We study variants of the local models constructed by the second author and Zhu and consider corresponding integral models of Shimura varieties of abelian type. We determine all cas…