Tongmu He

activity

20172025

most citedSen Operators and Lie Algebras arising from Galois Representations over

p

-adic Varieties

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

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math.AG2025

The $p$ -adic Galois Cohomology of Valuation Fields

Tongmu He

We compute the Galois cohomology of any $p$ -adic valuation field extension of a pre-perfectoid field. Moreover, we obtain a generalization and also a new proof of the classical res…

math.NT2025

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 $p$ -adic Tate module. We also compute t…

The p-adic Galois Cohomology of Valuation Fields

Characterizing perfectoid covers of abelian varieties

The $p$ -adic Galois Cohomology of Valuation Fields