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Perfectoidness of Proper Shimura Varieties With Limpid Integral Models

Partofard, Ali
arXiv (All) · Papers
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algebraic-geometrynumber-theory
We prove that any proper Shimura variety admitting a limpid integral model in the sense of Madapusi Pera becomes a perfectoid space at infinite level at $p$. Our method provides a new geometric approach that circumvents the need for a universal abelian scheme, making it applicable beyond Shimura var
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