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Results tagged with cohomology
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user 20483
A branch of algebraic topology concerning the study of cocycles and coboundaries. It is in some sense a dual theory to homology theory. This tag can be further specialized by using it in conjunction with the tags group-cohomology, etale-cohomology, sheaf-cohomology, galois-cohomology, lie-algebra-cohomology, motivic-cohomology, equivariant-cohomology, ...
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on variable and primitive cohomology of a hypersurface in a projective space
I have a smooth hypersurface D in $\mathbb{P}^n$: in many books about Hodge theory (as the ones of Voisin and Carlson) they take for granted that the primitive cohomology of D is equal the variable cohomology … (the variable cohomology of D is the ker of the gysin map $\gamma: H^p(D,\mathbb{C}) \rightarrow H^{p+2}(\mathbb{P}^n \setminus X, \mathbb{C})$ ).
it must be simple, but i can't see why …
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