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Results tagged with spectral-sequences
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user 78824
3
votes
0
answers
229
views
How can I find the differential in the Serre spectral sequence for this sphere fibration?
Consider the assocaited sphere bundle $$S(E) \to \mathbb{P}^n$$ for the vector bundle $\mathcal{O}(k)\oplus \mathcal{O}(l) \to \mathbb{P}^n$. Is there a way to determine the differentials
$$
d_4^{p,m} …
- 1,716
4
votes
0
answers
341
views
Does hypercohomology of the Koszul complex compute sheaf cohomology?
Let $i:X \to \mathbb{P}^n$ be a smooth projective variety defined by the vanishing locus of polynomials $(\underline{f}) = (f_1,\ldots,f_k)$ which have degrees $>0$ and are pairwise coprime, meaning $ …
- 1,716
3
votes
0
answers
273
views
Is there a spectral sequence for borel-moore homology associated to a whitney filtration?
Consider a Whitney stratified space
$$
\varnothing = X_{-1} \subseteq X_0 \subseteq X_1 \subseteq \cdots \subseteq X_n
$$
is there a spectral sequence for borel-moore homology which depends on the str …
- 1,716