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Results tagged with several-complex-variables
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user 123448
5
votes
0
answers
138
views
Are open subsets of a $\sigma$-compact LCH space $\mathcal{K}$-analytic?
I'm reading Guedj and Zeriahi's Degenerate Complex Monge-Ampère Equations Chapter 4 which talks about capacities. Specifically Corollary 4.13 claims that when $X$ is a locally compact Hausdorff $\sigm …
- 1,141
5
votes
1
answer
439
views
Is the determinant line bundle of a coherent sheaf functorial (between sheaves of the same r...
The determinant line bundle of a coherent sheaf $\mathcal{F}$ on an $n$-dimensional (smooth) analytic space is defined as
\begin{equation}
\det \mathcal{F} := \bigotimes_i^n (\det \mathcal{E}_i)^{ …
- 1,141