Question

Let $h(z) = g(f(z))$. If $f$ and $h$ are non-constant holomorphic function on domains in $\mathbb C^n$, then is $g$ holomorphic?

score 59 · Answer 1 · 2026-05-10 09:58:00

Let $h(z) = g(f(z))$. If $f$ and $h$ are non-constant holomorphic function on domains in $\mathbb C^n$, then is $g$ holomorphic?

score 176 · Answer 2 · 2026-05-03 08:52:35

176

Views

If power series in two variables and logarithmically convex Reinhardt domains

Published on 03 May 2026 - 8:52

score 131 · Answer 3 · 2026-05-02 21:49:11

131

Views

Product of holomorphically convex spaces is again holomorphically convex

Published on 02 May 2026 - 21:49

score 612 · Answer 4 · 2026-04-21 04:12:54

612

Views

Differential Geometry tools in Several Complex Variables

Published on 21 Apr 2026 - 4:12

score 447 · Answer 5 · 2026-05-02 19:58:39

447

Views

Is the complement of a complex affine algebraic set in an irreducible complex affine algebraic set (path) connected in the euclidean topology?

Published on 02 May 2026 - 19:58

score 237 · Answer 6 · 2026-04-20 13:29:15

237

Views

Any entire holomorphic function that is bounded on countably infinite number of complex-lines must be constant.

Published on 20 Apr 2026 - 13:29

score 120 · Answer 7 · 2026-04-29 12:16:50

120

Views

Do there exist infinitely many complex lines through the origin?

Published on 29 Apr 2026 - 12:16

score 105 · Answer 8 · 2026-04-21 10:30:23

105

Views

Can a pure codimension d analytic subset be defined by a d-tuple of holomorphic functions?

Published on 21 Apr 2026 - 10:30

score 1.1k · Answer 9 · 2026-04-21 00:51:40

1.1k

Views

How to show $\int_{0}^{\infty} \frac{dx}{x^3+1} = \frac{2\pi}{3\sqrt{3}}$

Published on 21 Apr 2026 - 0:51

score 208 · Answer 10 · 2026-04-29 12:55:11

208

Views

Build a Blaschke product such as $B^*(1)=\lim_{r\to 1}B(r)=0$

Published on 29 Apr 2026 - 12:55

score 141 · Answer 11 · 2026-04-29 12:54:56

141

Views

$C^{k}$ topologies on $ Hol(U)$

Published on 29 Apr 2026 - 12:54

score 189 · Answer 12 · 2026-04-23 04:13:28

189

Views

Prove that every complex number with modulus 1 can be expressed as the principal value $(−1)^a$ for some real number a.

Published on 23 Apr 2026 - 4:13

score 112 · Answer 13 · 2026-05-02 10:54:06

112

Views

Almost everywhere equal plurisubharminic functions

Published on 02 May 2026 - 10:54

score 127 · Answer 14 · 2026-04-23 18:43:57

127

Views

$C^3$ boundary, locally the Levi form satisfies $L(r,t)\geq -C|r(z)||t|^2$ for tangent vectors $t$ and defining function $r$.

Published on 23 Apr 2026 - 18:43

score 195 · Answer 15 · 2026-04-23 07:11:11

195

Views

Holomorphic logarithm of a never-zero holomorphic function on balls in $\mathbb C^n$

Published on 23 Apr 2026 - 7:11

List Question

Let $h(z) = g(f(z))$. If $f$ and $h$ are non-constant holomorphic function on domains in $\mathbb C^n$, then is $g$ holomorphic?

If power series in two variables and logarithmically convex Reinhardt domains

Product of holomorphically convex spaces is again holomorphically convex

Differential Geometry tools in Several Complex Variables

Is the complement of a complex affine algebraic set in an irreducible complex affine algebraic set (path) connected in the euclidean topology?

Any entire holomorphic function that is bounded on countably infinite number of complex-lines must be constant.

Do there exist infinitely many complex lines through the origin?

Can a pure codimension d analytic subset be defined by a d-tuple of holomorphic functions?

How to show $\int_{0}^{\infty} \frac{dx}{x^3+1} = \frac{2\pi}{3\sqrt{3}}$

Build a Blaschke product such as $B^*(1)=\lim_{r\to 1}B(r)=0$

$C^{k}$ topologies on $ Hol(U)$

Prove that every complex number with modulus 1 can be expressed as the principal value $(−1)^a$ for some real number a.

Almost everywhere equal plurisubharminic functions

$C^3$ boundary, locally the Levi form satisfies $L(r,t)\geq -C|r(z)||t|^2$ for tangent vectors $t$ and defining function $r$.

Holomorphic logarithm of a never-zero holomorphic function on balls in $\mathbb C^n$

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