1 citations · 1 across the 4 of their papers we have counts for
4 papers
The -adic Galois Cohomology of Valuation Fields
Tongmu He
We compute the Galois cohomology of any -adic valuation field extension of a pre-perfectoid field. Moreover, we obtain a generalization and also a new proof of the classical res…
Characterizing perfectoid covers of abelian varieties
Rebecca Bellovin, Hanlin Cai, Sean Howe +1
We give a simple characterization of all perfectoid profinite étale covers of abelian varieties in terms of the Hodge-Tate filtration on the -adic Tate module. We also compute t…
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…
Topological Conjugacy of Non-hyperbolic Linear Flows
Tongmu He
The topological equivalence classification for linear flows on had been completely solved by Kuiper and independently Ladis in 1973. However, Ladis' proof was publis…