6 papers
Integral -adic Hodge theory in the imperfect residue field case
Hui Gao
Let be a mixed characteristic complete discrete valuation field with residue field admitting a finite -basis, and let be the Galois group. We first classify semi-stabl…
Packing of maximal independent mixed arborescences
Hui Gao, Daqing Yang
Király in [On maximal independent arborescence packing, SIAM J. Discrete. Math. 30 (4) (2016), 2107-2114] solved the following packing problem: Given a digraph , a matr…
Wach models and overconvergence of étale -modules
Hui Gao
A classical result of Cherbonnier and Colmez says that all étale -modules are overconvergent. In this paper, we give another proof of this fact when the base field is a…
Limit of torsion semi-stable Galois representations with unbounded weights
Hui Gao
Let be a complete discrete valuation field of characteristic with perfect residue field, and let be an integral -representation of $\mathrm{Gal}(\ove…
Locally analytic vectors and overconvergent -modules
Hui Gao, Léo Poyeton
Let be a prime, let be a complete discrete valuation field of characteristic with a perfect residue field of characteristic , and let be the Galois group. Let…
Two bounds for generalized -connectivity of Cartesian product graphs
Hui Gao, Benjian Lv, Kaishun Wang
The generalized -connectivity of a graph , which was introduced by Chartrand et al.(1984) is a generalization of the concept of vertex connectivity. Let and $H…