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Results tagged with complex-manifolds
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user 124749
For questions about or involving complex manifolds.
2
votes
0
answers
96
views
What's the behavior of the laplacian of dbar operator w.r.t. a singular metric of a holomorp...
What's the behavior of the laplacian of dbar operator w.r.t. a singular metric of a holomorphic line bundle or other holomorphic vector bundle over a complex manifold ?Do we have anything similar wit …
- 391
7
votes
0
answers
192
views
The comparison between Dolbeault cohomology and $L^2$ cohomology
Let $X$ be a complex manifold. Let Dolbeault cohomology and the corresponding $L^2$-cohomology be denoted by $H^{p,q}(X) $
and $H^{p,q}_{(2)}(X)$ respectively.
As is well known, on a compact c …
- 391