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In algebraic geometry, Monsky–Washnitzer cohomology is a p-adic cohomology theory defined for non-singular affine varieties over fields of positive characteristic p introduced by Paul Monsky and Gerard Washnitzer and , who were motivated by the work of Bernard Dwork. The idea is to lift the variety to characteristic 0, and then take a suitable subalgebra of the algebraic de Rham cohomology of . The construction was simplified by . Its extension to more general varieties is called rigid cohomology.