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9.2 Global Geometry and the Igusa Stack To apply the local theory to the global setting, one utilizes the geometry of the special fiber of a meta-unitary Shimura variety

Moreover, ifΛ = Qℓ, the functorL unip G,ξ is compatible with the exotictstructure onShv unip(IsocG,Λ) ξ, the standardt-structure onIndCoh(Loc unip LG,E)ξ

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Igusa Stack for some exceptional Shimura Varieties

math.AG · 2025-12-15 · unverdicted · novelty 7.0

Proves the fiber product formula holds for meta-unitary Shimura varieties, enabling local-global compatibility and a generic cohomology vanishing theorem.

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  • Igusa Stack for some exceptional Shimura Varieties math.AG · 2025-12-15 · unverdicted · none · ref 25

    Proves the fiber product formula holds for meta-unitary Shimura varieties, enabling local-global compatibility and a generic cohomology vanishing theorem.