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Results tagged with complex-geometry
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user 480953
Complex geometry is the study of complex manifolds, complex algebraic varieties, complex analytic spaces, and, by extension, of almost complex structures. It is a part of differential geometry, algebraic geometry and analytic geometry.
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$L^{\infty}$ estimate for bounded function on complex manifold with conic Kähler metric
Let $\overline{X}$ be a compact Kähler manifold of complex dimention $n$ with normal crossing divisors $D=\sum_{i=1}^{m}=D_{i}$. For $0<\alpha< 2$, we can construct a conic Kähler metric by setting $$ …
- 101
6
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A question on Demailly's proof of coherence of ideal sheaf
Let $A$ be an analytic subset of a complex manifold $M$ and $O_{M}$ be the sheaf of complex analytic functions on $M$. The sheaf of ideals $\mathcal{J}_{A}$ is defined as the subsheaf of $O_{M}$ whoes …
- 206
3
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A question on Demailly's proof to the cannonical isomorphism of tangent bundle of Grassmannian
Let $G_{r}(V)$ be the Grassmannian of a complex vector space $V$ consists of subspaces of codimension $r$. It is well known that $$TG_{r}(V)=Hom(S,Q)$$ where $S$ is the tautological subbundle and $Q=G …
- 206