this is an open problem:
does every elliptiptic surface with characteristic p can be lifted to an
elliptic surface with zero characteristic ?
no
because every fibre of a elliptice surface is a an algebraic ariety with
dimension = 1
if f * is a lifting for f in this case pf*=f   and f* =composition inverse
image po f
so that for every x_0 : inverse image p(0)= pai(X;x_0)
if we consider to progective plane in this cardinal of inverse image p(0)
=infinity and aand pai(n-projective plane)=n
this is a direct countre example for this problem.
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