Frobenius morphisms over Z/p^2 and Bott vanishing

A. Buch, J. F. Thomsen, N. Lauritzen +1

Let $X$ be a smooth projective algebraic variety over $Z/p$, which has a flat lift to a scheme $X^{\prime }$ over $Z/p^2$. If the absolute Frobenius morphism $F$ on $X$ lifts to a morphism…