  A result of Crew implies that for an etale Galois p-cover of smooth proper
varieties over a field of characteristic p, the alternating sum of the p-ranks
of the cohomology groups behave like Euler characteristics in characteristic 0.
That is, the sum for the top curve equals the sum for the bottom curve times
the degree of the cover. We exhibit an example to show that this relation fails
in general if the p-rank is replaced by the part of some fixed slope (other
than 0).
