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20172025
most citedSen Operators and Lie Algebras arising from Galois Representations over -adic Varieties

2 citations · 7 across the 9 of their papers we have counts for

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math.AG2024

Perfectoidness via Sen Theory and Applications to Shimura Varieties

Tongmu He

Sen's theorem on the ramification of a -adic analytic Galois extension of -adic local fields shows that its perfectoidness is equivalent to the non-vanishing of its arithmeti…

math.AG2024

Purity for Perfectoidness

Tongmu He

There has been a long-standing question about whether being perfectoid for an algebra is local in the analytic topology. We provide affirmative answers for the algebras (e.g., over…