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Results tagged with ag.algebraic-geometry
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user 124749
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
5
votes
1
answer
300
views
Vanishing theorems on a non-compact manifold
In complex geometry, various vanishing theorems for cohomology
groups of a hermitian line bundle E over a compact complex manifold X have been found.
My question is
Is there some vanishing theore …
- 391
2
votes
1
answer
184
views
Relations between Dolbeault cohomology and the corresponding $L^2$-cohomology
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 complex manifold $X$, $H^{p, …
- 391
1
vote
0
answers
132
views
Essential Steinness of projective manifold
As we all know, a projective manifold is an essentially Stein manifold. Here, we use the definition as follows: A Kähler manifold Y is said to be essentially Stein if there exists an analytic hypersur …
- 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