Proves the fiber product formula holds for meta-unitary Shimura varieties, enabling local-global compatibility and a generic cohomology vanishing theorem.
Theorem 2.17.The functorSht I (G,µ,K) is representable by a spatial diamond, this diamond is a v-stack which is separated and locally of finite type overSpd(E)
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Igusa Stack for some exceptional Shimura Varieties
Proves the fiber product formula holds for meta-unitary Shimura varieties, enabling local-global compatibility and a generic cohomology vanishing theorem.