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math.AT2025
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…
math.AT2025
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…