8 citations · 11 across the 4 of their papers we have counts for
4 papers
Crystalline prisms: Reflections and diffractions, present and past
Arthur Ogus
Let be a -completely smooth morphism of -torsion free -adic formal schemes endowed with a Frobenius lift, and let denote its reduction modu…
Monodromy and Log Geometry
Piotr Achinger, Arthur Ogus
A now classical construction due to Kato and Nakayama attaches a topological space (the "Betti realization") to a log scheme over . We show that in the case of a log sm…
Hodge cohomology of invertible sheaves
Hélène Esnault, Arthur Ogus
v2: We improved a little bit according to the referee's wishes. v1: On projective smooth over a field , Pink and Roessler conjecture that the dimension of the Hodge cohomolo…
Nonabelian Hodge Theory in Characteristic p
Arthur Ogus, Vadim Vologodsky
Given a scheme in characteristic p together with a lifting modulo p^2, we construct a functor from a category of suitably nilpotent modules with connection to the category of Higgs…