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Results tagged with complex-manifolds
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user 123448
For questions about or involving complex manifolds.
11
votes
3
answers
1k
views
Is every smooth projective variety contained in a chain of smooth projective varieties of in...
Let $X ⊆ \mathbb{P}^n$ be a smooth projective variety (over $\mathbb{C}$). I think we can find a chain of irreducible varieties $X = X_0 ⊆ X_1 ⊆ X_2 ⊆ \cdots ⊆ X_k = \mathbb{P}^n$ whose dimension incr …
- 1,141
7
votes
2
answers
606
views
Does Peetre's theorem hold in complex analysis?
Let $E, F$ be two smooth vector bundles over a smooth manifold $M$. Peetre's theorem states that any $\mathbb{R}$-linear morphism $D: \mathcal{E} \to \mathcal{F}$ of the sheaves of sections of $E$ and …
- 1,141