43 citations · 202 across the 24 of their papers we have counts for
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math.NT2008★ 10 cited
On Ramification Filtrations and p-adic Differential Equations, II: mixed characteristic case
Liang Xiao
Let K be a complete discretely valued field of mixed characteristic (0, p) with possibly imperfect residue field. We prove a Hasse-Arf theorem for the arithmetic ramification filtr…
math.NT2008★ 2 cited
Differential modules on p-adic polyannuli
Kiran S. Kedlaya, Liang Xiao
We consider variational properties of some numerical invariants, measuring convergence of local horizontal sections, associated to differential modules on polyannuli over a nonarch…
math.NT2008★ 4 cited
On ramification filtrations and -adic differential modules, I: equal characteristic case
Liang Xiao
Let be a complete discretely valued field of equal characteristic with possibly imperfect residue field and let be its Galois group. We prove that the conductors…