Rational points over finite fields for regular models of algebraic varieties of Hodge type $\ge 1$

Pierre Berthelot, Hélène Esnault, Kay Rülling

Let $R$ be a discrete valuation ring of mixed characteristics $(0,p)$, with finite residue field $k$ and fraction field $K$, let $k^{\prime }$ be a finite extension of $k$, and let $X$ be a…