Arbitrarily large jumps in the de Rham and Hodge cohomology of families in characteristic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>p</mml:mi> </mml:math>
<jats:p> We construct smooth projective families of algebraic varieties in characteristic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>p</mml:mi> </mml:math> such that the dimensions of the de Rham...