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Results tagged with cohomology
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user 169282
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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When is a subspace of the cohomology of a smooth projective scheme on $k$ a motive?
Let $X$ be a smooth projective scheme over a number field $k$, and $V_{p}$ (resp. $V_{\text{dR}}, V_{\text{B}}$) a sub-space of $H_{et,p}^{\ast}(X)$ (resp. $H^{\ast}_{\text{dR}}(X), H^{\ast}_{\text{B} …
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Reference for isomorphism between parabolic and cuspidal cohomology of the Siegel variety
I'm asking for a reference where I can find proof of isomorphism
$$H^{3}_{\text{cusp}}(Y(U),F_{\lambda})\simeq H^{3}_{\text{par}}(Y(U),F_{\lambda}),$$
where $Y(U)$ is the level $U$ shimura variety of …
- 1,270
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Reference for isomorphism between parabolic and cuspidal cohomology of the Siegel variety
You can find it on page 5-6 (293-294) of Taylor's "On triple Siegel l-adic cohomology" or on page 10 of Mokrane and Tilouine "Cohomology of Siegel manifolds with p-adic integral coefficients and applications … Zuckermann "Unit representations with non-zero cohomology". …
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