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Results tagged with cohomology
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user 4096
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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195
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lefschetz theorem for quadrics
Does there exist an analogue of Lefschetz Hyperplane Theorem for cohomology that holds for intersections with (smooth) quadrics? …
- 3,779
5
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257
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Atiyah class and coboundary map
Let $L$ be a line bundle on a smooth algebraic variety $X$. Let $\sigma_i:U_i \times \mathbb{C} \to L_{|U_i} $
be its local trivializaations and $u_{ij}$ the transition functions satisfying $\sigma_j= …
- 3,779
4
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298
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Cohomology and deformations of moduli of vector bundles
Then we have the standard exact sequence
$$0 \to O_X \to Diff^1(L) \to T_X \to 0$$
now take the long exact sequence of cohomology
$$ ... …
- 3,779
1
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164
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Cohomology of a stratified projective bundle
Is there a formula to compute the cohomology of $X$? (I guess in terms of the classes of the strata.) …
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3
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208
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2 K3s and cubic fourfolds containing a plane
Are they FM partners or have similar cohomology? …
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