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math.NT2022
Prismatic crystals over the de Rham period sheaf
Hui Gao, Yu Min, Yupeng Wang
Let be a mixed characteristic complete discrete valuation ring with perfect residue field. We study -crystals on the (log-) prismatic site…
math.CO2022
Digraph analogues for the Nine Dragon Tree Conjecture
Hui Gao, Daqing Yang
The fractional arboricity of a digraph , denoted by , is defined as . Frank in [Covering branching, Acta S…
math.NT2022
Hodge-Tate prismatic crystals and Sen theory
Hui Gao
Let be a mixed characteristic complete discrete valuation field with perfect residue field, and let be a Kummer tower extension by adjoining a compatible system of…