. . . . "26002282"^^ . . . . . "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\u2013Washnitzer cohomology to non-affine varieties. For a scheme X of finite type over a perfect field k, there are rigid cohomology groups Hirig(X/K) which are finite dimensional vector spaces over the field K of fractions of the ring of Witt vectors of k. More generally one can define rigid cohomology with compact supports, or with support on a closed subscheme, or with coefficients in an overconvergent isocrystal. If X is smooth and proper over k the rigid cohomology groups are the same as the crystalline cohomology groups."@en . "Rigid kohomologi"@sv . . . . "Inom matematiken \u00E4r rigid kohomologi en p-adisk kohomologiteori introducerad av ). Den utvidgar till vissa mer allm\u00E4nna , och utvidgar Monsky\u2013Washnitzerkohomologin till icke-."@sv . . . . "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\u2013Washnitzer cohomology to non-affine varieties. For a scheme X of finite type over a perfect field k, there are rigid cohomology groups Hirig(X/K) which are finite dimensional vector spaces over the field K of fractions of the ring of Witt vectors of k. More generally one can define rigid cohomology with compact supports, or with support on a closed subscheme, or with coefficients in an overconvergent isocrystal. If X is smooth and proper over k the rigid cohomology groups are the same as the crystalline cohomology groups. The name \"rigid cohomology\" comes from its relation to rigid analytic spaces. used rigid cohomology to give a new proof of the Weil conjectures."@en . . . . . . . "i"@en . . . "Rigid cohomology"@en . . . "Inom matematiken \u00E4r rigid kohomologi en p-adisk kohomologiteori introducerad av ). Den utvidgar till vissa mer allm\u00E4nna , och utvidgar Monsky\u2013Washnitzerkohomologin till icke-."@sv . . . . "1058076764"^^ . . . . . "3294"^^ . . . "rig"@en . . . . . . . . .