Monsky–Washnitzer cohomology

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, who were motivated by the work of. 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.