7 papers
Continuous Mal'cev Qp-Completion of Pro-p Groups
Runjie Hu, Guozhen Wang
We give three explicit constructions of the continuous Mal'cev Qp-completion of a topologically finitely generated pro-p group, using Tannakian formalism, Hopf algebras and p-adic…
Non-liftable varieties via etale cohomology rings
Runjie Hu, Siqing Zhang
We construct a smooth projective variety in positive characteristic whose -coefficient etale cohomology ring is not the scalar extension of any graded $\mathbb{Q…
A homotopical consequence of branched covers
Runjie Hu
We prove that the profinite completion of a pseudomanifold is the Artin-Mazur's etale homotopy type construction on its branched covers, which was implicitly conjectured by Sulliva…
Formal Manifold Structures on Positive Characteristic Varieties
Runjie Hu, Siqing Zhang
In his 1970 ICM report, Sullivan proposes the program of l-adic formalization of the concept of manifolds. In this program, he claims that smooth positive characteristic varieties…
A necessary condition for liftings of positive characteristic varieties with finite fundamental groups
Ruida Di, Runjie Hu, Siqing Zhang
In this paper, we introduce a necessary condition for the existence of characteristic zero liftings of certain smooth, proper varieties in positive characteristic, using etale homo…
-theory Characteristic Classes
Runjie Hu
Although the local information of the -spectra is well understood, the problem of whether this local information can be identified with the geometric data for bundles remains op…