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Results tagged with complex-manifolds
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user 4790
For questions about or involving complex manifolds.
20
votes
Accepted
Splitting principle for holomorphic vector bundles
The answer is positive. Let $P$ be the principal $\mathrm{GL}_n$-bundle associated with $E$; then the space of flags is the quotient $P/B$, where $B$ is the Borel subgroup of $\mathrm{GL}_n$ consistin …
- 27k
4
votes
Accepted
recurrence formula for *i*-th Chern class of $CP^n$
There is no need for a recurrence formula. If $h\in \mathrm H^2(\mathbb C\mathbb P^n, \mathbb Z)$ is the Poincaré dual of a hyperplane section, then $h^i$ generates $\mathrm H^{2i}(\mathbb C\mathbb P^ …
- 27k