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arxiv: 1507.01824 · v4 · pith:PFQEY7W7new · submitted 2015-07-07 · 🧮 math.NT

Perfectoid Shimura varieties of abelian type

classification 🧮 math.NT
keywords perfectoidabelianinfinitelevelshimuratypevarietiescorollary
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We prove that Shimura varieties of abelian type with infinite level at $p$ are perfectoid. As a corollary, the moduli spaces of polarized K3 surfaces with infinite level at $p$ are also perfectoid.

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