Question

Two Cauchy-Schwartz type inequality on the norm of complex differential forms

score 112 · Answer 1 · 2021-12-16 13:10:32

112

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Two Cauchy-Schwartz type inequality on the norm of complex differential forms

Published on 16 Dec 2021 - 13:10

score 42 · Answer 2 · 2022-01-01 12:41:39

42

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A question about convex domain in$\mathbb{C}^n$

Published on 01 Jan 2022 - 12:41

score 81 · Answer 3 · 2022-01-02 01:11:22

81

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When is the zero set of a polynomial in two complex variables disconnected?

Published on 02 Jan 2022 - 1:11

score 107 · Answer 4 · 2022-01-12 11:00:00

107

Views

Holomorphic primitive of holomorphic function in several complex variables

Published on 12 Jan 2022 - 11:00

score 48 · Answer 5 · 2022-01-24 03:35:27

48

Views

proof question about implicit function for $\mathbb{C}$

Published on 24 Jan 2022 - 3:35

score 122 · Answer 6 · 2022-01-29 12:53:50

122

Views

Convergence of $\sum_{\alpha\in \Bbb N^n} z^\alpha$ in $\{z\in \Bbb C^n: |z_i| < 1 \text{ for all } 1\le i\le n\}$

Published on 29 Jan 2022 - 12:53

score 109 · Answer 7 · 2022-01-31 17:14:35

109

Views

Is the following universal property of holomorphic functions true?

Published on 31 Jan 2022 - 17:14

score 59 · Answer 8 · 2022-02-02 04:25:56

59

Views

If $f\in\mathbb{C}[[z_1,\dots,z_n]]$ such that $f(0)\neq 0$ converges absolutely in a nbhd of $0$, does $\frac{1}{f}$ also converge in a nbhd of $0$?

Published on 02 Feb 2022 - 4:25

score 299 · Answer 9 · 2022-02-02 10:57:18

299

Views

Several complex variables analogue of Cauchy's integral theorem

Published on 02 Feb 2022 - 10:57

score 66 · Answer 10 · 2022-02-06 06:43:48

66

Views

Convergence of $\sum_{\alpha\in \Bbb N^n} \frac{z^\alpha}{\xi(\alpha)}$ on $\operatorname{int} U$ where $U \subset\Bbb C^n$ is bounded

Published on 06 Feb 2022 - 6:43

score 78 · Answer 11 · 2022-02-10 00:18:42

78

Views

Holomorphic primitive of several complex variables function

Published on 10 Feb 2022 - 0:18

score 239 · Answer 12 · 2022-03-09 04:05:53

239

Views

Poincaré's Theorem using Schwarz Lemma in $\mathbb C^n$

Published on 09 Mar 2022 - 4:05

score 64 · Answer 13 · 2022-03-10 10:54:55

64

Views

Real life applications of severable complex variables functions theory and complex geometry

Published on 10 Mar 2022 - 10:54

score 59 · Answer 14 · 2022-03-11 09:56:53

59

Views

$F(z,w) = F(e^{i \theta} z,e^{i \theta} w)$ then $F$ is a constant

Published on 11 Mar 2022 - 9:56

score 98 · Answer 15 · 2022-03-11 17:59:59

98

Views

Singularity set of coherent analytic sheaf

Published on 11 Mar 2022 - 17:59

List Question

Two Cauchy-Schwartz type inequality on the norm of complex differential forms

A question about convex domain in$\mathbb{C}^n$

When is the zero set of a polynomial in two complex variables disconnected?

Holomorphic primitive of holomorphic function in several complex variables

proof question about implicit function for $\mathbb{C}$

Convergence of $\sum_{\alpha\in \Bbb N^n} z^\alpha$ in $\{z\in \Bbb C^n: |z_i| < 1 \text{ for all } 1\le i\le n\}$

Is the following universal property of holomorphic functions true?

If $f\in\mathbb{C}[[z_1,\dots,z_n]]$ such that $f(0)\neq 0$ converges absolutely in a nbhd of $0$, does $\frac{1}{f}$ also converge in a nbhd of $0$?

Several complex variables analogue of Cauchy's integral theorem

Convergence of $\sum_{\alpha\in \Bbb N^n} \frac{z^\alpha}{\xi(\alpha)}$ on $\operatorname{int} U$ where $U \subset\Bbb C^n$ is bounded

Holomorphic primitive of several complex variables function

Poincaré's Theorem using Schwarz Lemma in $\mathbb C^n$

Real life applications of severable complex variables functions theory and complex geometry

$F(z,w) = F(e^{i \theta} z,e^{i \theta} w)$ then $F$ is a constant

Singularity set of coherent analytic sheaf

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