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math.NT2013
Rigid rational homotopy types
Christopher Lazda
In this paper we define a rigid rational homotopy type, associated to any variety over a perfect field of positive characteristic. We prove comparison theorems with previou…
math.NT2013★ 11 cited
Relative Fundamental Groups and Rational Points
Christopher Lazda
In this paper we define a relative rigid fundamental group, which associates to a section of a smooth and proper morphism in characteristic , a Hopf algeb…
math.NT2013
A -adic Bertini theorem for unipotent local systems
Christopher Lazda
In this short note we prove a version of Bertini's theorem for unipotent rigid fundamental groups, stating that for every smooth, projective, geometrically connected variety ov…