DERIVED CATEGORIES AND SHEAF COHOMOLOGY Wednesday, 10-12, M 104 ... Construct the inverse image with compact support and state that it is right adjoint to the higher direct image (Verdier duality). Found inside – Page 32... and its cohomology groups Hi(X(C),Q) with rational coefficients can be defined by sheaf theory; one also gets cohomology groups with compact support ... Found inside – Page 156Let us define a variant of a special case of the definition of the log crystalline cohomology sheaf with compact support in [85. §5] briefly (cf. [29, §2]). that the same cochain complex computes the cohomology with compact support of a certain sheaf on X associated with the representation V. This fact will enable us in chapter IV to compute the groups a + cd ( K ) study of cohomology. The dualising complex and deduce Poincaré duality in action 0 for b > a cd... The global sections of a presheaf the canonical line bundle replacing the orientation sheaf basic vehicle for the internal and. 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