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On the connectedness of $p$-adic period domains

Ian GleasonJo\~ao Louren\c{c}o
Oct 2022
摘要
We prove that all $p$-adic period domains (and their non-minuscule analogues)are geometrically connected. This answers a question of Hartl [Har13] and hasinteresting consequences to the geometry of Shimura and local Shimuravarieties.
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