论文标题

关于$ p $ - 阿迪时期域的连接性

On the connectedness of $p$-adic period domains

论文作者

Gleason, Ian, Lourenço, João

论文摘要

我们证明,所有$ p $ - adiC时期域(及其非微调类似物)都是几何连接的。这回答了Hartl [Har13]的问题,并对Shimura和当地Shimura品种的几何形状产生了有趣的后果。

We prove that all $p$-adic period domains (and their non-minuscule analogues) are geometrically connected. This answers a question of Hartl [Har13] and has interesting consequences to the geometry of Shimura and local Shimura varieties.

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