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Results tagged with cv.complex-variables
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user 2783
Complex analysis, holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves.
2
votes
Local representation of an analytic sets
Let $V \subset {\mathbb{C}}^6$ be the set defined by
$$
\operatorname{rank}
\begin{bmatrix}z_1 & z_2 & z_3 \\\ z_4 & z_5 & z_6 \end{bmatrix}
\leq 1 .
$$
Then dimension of $V$ is 4, but near the origin …
- 211
2
votes
Accepted
Complex manifold with boundary
Perhaps Giuseppe Della Sala's paper might be useful here: https://www.ams.org/journals/proc/2011-139-07/S0002-9939-2010-10746-3/home.html
It precisely deals with the equivalence of smooth Levi-flats. …
- 211
18
votes
Functions of several complex variables: book recommendations?
I know this is somewhat late answer for the original question, but here goes. I've taught Several Complex Variables twice at Oklahoma State, and I wrote a hopefully easy to read textbook for the purp …