List questions from several-complex-variables

Published on 22 Nov 2023 - 23:32

31

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Show that this domain is Levi pseudoconvex and find all strictly Levi pseudoconvex points on boundary.

Published on 20 Dec 2023 - 12:35

105

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Is non-constant holomorphic map $f:\mathbb P^n\to \mathbb P^n$ surjective?

Published on 28 Dec 2023 - 17:47

37

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What does it mean to "take perturbations", e.g. $\sigma \rightarrow \sigma + \delta \sigma$, and how can I extend this to complex numbers??

Published on 16 Jan 2024 - 20:29

77

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About the ring of formal power series convergent on a neighborhood of $0$

Published on 16 Jan 2024 - 23:30

41

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On the definition of exhaustion functions

Published on 20 Jan 2024 - 5:43

35

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Domain of convergence of a power series is a complete Reinhardt domain.

Published on 20 Jan 2024 - 20:38

55

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Show that $\widehat {f}$ is holomorphic in each variable.

Published on 28 Jan 2024 - 10:48

45

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Estimates for Montel's theorem in higher dimensions

Published on 30 Jan 2024 - 23:19

40

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Analytically continuing a function of two complex variables.

Published on 26 Mar 2026 - 11:05

57

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Terminology for Complex Algebraic Geometry with Complex Conjugation

Published on 26 Mar 2026 - 1:00

81

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commutativity of $\iota^$ and ${\bar\partial}^$ / $\mathcal G$ on smooth differential froms

Published on 26 Mar 2026 - 17:50

19

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Question on region of convergence

Published on 10 Mar 2024 - 21:11

29

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Local structure of a germ of analytic set

Published on 15 Mar 2024 - 16:50

16

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Relation between local defining functions for the boundary.

Published on 26 Mar 2026 - 18:32

List Question

$-\log\delta_{\Omega}$ is plurisubharmonic.

Show that this domain is Levi pseudoconvex and find all strictly Levi pseudoconvex points on boundary.

Is non-constant holomorphic map $f:\mathbb P^n\to \mathbb P^n$ surjective?

What does it mean to "take perturbations", e.g. $\sigma \rightarrow \sigma + \delta \sigma$, and how can I extend this to complex numbers??

About the ring of formal power series convergent on a neighborhood of $0$

On the definition of exhaustion functions

Domain of convergence of a power series is a complete Reinhardt domain.

Show that $\widehat {f}$ is holomorphic in each variable.

Estimates for Montel's theorem in higher dimensions

Analytically continuing a function of two complex variables.

Terminology for Complex Algebraic Geometry with Complex Conjugation

commutativity of $\iota^$ and ${\bar\partial}^$ / $\mathcal G$ on smooth differential froms

Question on region of convergence

Local structure of a germ of analytic set

Relation between local defining functions for the boundary.

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