Rigid cohomology
Encyclopedia
In mathematics, rigid cohomology is a p-adic cohomology theory introduced by . It extends crystalline cohomology
to schemes that need not be proper or smooth, and extends Monsky–Washnitzer cohomology
to non-affine varieties.
Crystalline cohomology
In mathematics, crystalline cohomology is a Weil cohomology theory for schemes introduced by and developed by . Its values are modules over rings of Witt vectors over the base field....
to schemes that need not be proper or smooth, and extends Monsky–Washnitzer cohomology
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 and , who were motivated by the work of . The idea is to lift the variety to characteristic 0, and then take a...
to non-affine varieties.