List questions from several-complex-variables

Published on 09 Apr 2013 - 23:09

80

Views

What does $\left< dz_j , \frac{\partial}{\partial z_j}\right>$ mean?

Published on 12 Apr 2013 - 3:42

155

Views

Biholomorphic Equivalence in $\mathbb{C}^n$

Published on 15 Apr 2013 - 12:04

1.2k

Views

Holomorphic extension of a function to $\mathbb{C}^n$

Published on 15 Apr 2013 - 17:32

131

Views

Zeros of function $f: \mathbb{C}^{n}\to\mathbb{C}$

Published on 22 Apr 2013 - 1:33

588

Views

Convergence domain: $\{(z,w):|z|^2+|w|^2 < 1\}$

Published on 23 Apr 2013 - 14:18

439

Views

Show that f is a polynomial

Published on 25 Apr 2013 - 18:44

996

Views

What is the radius of convergence of a power series in two variables?

Published on 14 May 2013 - 19:03

153

Views

Branch locus along a smooth curve

Published on 11 Jun 2013 - 17:36

525

Views

Continuous extension of limiting Holomorphic function to the boundary.

Published on 13 Jun 2013 - 17:29

175

Views

Prove that: $\sup_{z \in \overline{D}} |f(z)|=\sup_{z \in \Gamma} |f(z)|$

Published on 14 Jun 2013 - 7:19

157

Views

Proper holomorphic map from the unit disc to the polydisc of dimension greater than one .

Published on 15 Jun 2013 - 16:38

539

Views

Proper holomorphic map from the unit disc to the bidisc

Published on 17 Jun 2013 - 6:07

580

Views

Bergman-Shilov Boundary and Peak Points

Published on 18 Jun 2013 - 9:16

276

Views

Prove that $\log(f+g)$ be a plurisubharmonic function

Published on 21 Jun 2013 - 16:19

List Question

What does $T_z\mathbb{R}^2\otimes\mathbb{C}$ in p. 2 of Huybrechts' book mean?

What does $\left< dz_j , \frac{\partial}{\partial z_j}\right>$ mean?

Biholomorphic Equivalence in $\mathbb{C}^n$

Holomorphic extension of a function to $\mathbb{C}^n$

Zeros of function $f: \mathbb{C}^{n}\to\mathbb{C}$

Convergence domain: $\{(z,w):|z|^2+|w|^2 < 1\}$

Show that f is a polynomial

What is the radius of convergence of a power series in two variables?

Branch locus along a smooth curve

Continuous extension of limiting Holomorphic function to the boundary.

Prove that: $\sup_{z \in \overline{D}} |f(z)|=\sup_{z \in \Gamma} |f(z)|$

Proper holomorphic map from the unit disc to the polydisc of dimension greater than one .

Proper holomorphic map from the unit disc to the bidisc

Bergman-Shilov Boundary and Peak Points

Prove that $\log(f+g)$ be a plurisubharmonic function

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