List questions from several-complex-variables

Published on 25 Mar 2026 - 21:01

81

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Is this simple condition enough to show $f:\mathbb{C}^3\to\mathbb{C}^3$ is holomorphic?

Published on 28 Feb 2020 - 15:09

88

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How are the $\sigma_k(x)$ functions in the Weierstrass Polynomial derived from the Residue Theorem?

Published on 05 Mar 2020 - 21:20

230

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Is the union of 2 complex analytic sets still a complex analytic set?

Published on 13 Mar 2020 - 10:49

234

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An equivalent characterization of the first chern class

Published on 16 Mar 2020 - 3:32

138

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About integration by parts of $\partial$ operator

Published on 17 Mar 2020 - 15:28

284

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Essential singularity of a holomorphic function of two variables

Published on 26 Mar 2020 - 0:30

188

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$(p,q)$-forms and notation

Published on 30 Mar 2020 - 10:12

94

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An irreducible analytic sub-variety of a complex manifold is connected.

Published on 31 Mar 2020 - 5:52

272

Views

Holomorphic function from $\mathbb{C}\mathbb{P}^n$ to $\mathbb{C}$ is constant

Published on 02 Apr 2020 - 20:31

32

Views

If $\iota(x,y,u,v):=(x+iy,u+iv)$, then $\iota(x,y,(x,y)A^T)$ is complex subspace of $\mathbb{C}^2$

Published on 02 Apr 2020 - 21:13

51

Views

Prove that $\mathbb{C}\mathbb{P}^n$ is connected

Published on 03 Apr 2020 - 11:02

119

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Understanding Hörmanders Theorem 1.3.3 and properties of hull

Published on 06 Apr 2020 - 19:12

273

Views

Showing that $\tau(t) = (t^2, t^3)$ is not a submanifold

Published on 25 Mar 2026 - 9:27

126

Views

Properties of conjugate function of an analytic function

Published on 09 Apr 2020 - 20:52

List Question

Why is the sum of two algebraic functions algebraic?

Is this simple condition enough to show $f:\mathbb{C}^3\to\mathbb{C}^3$ is holomorphic?

How are the $\sigma_k(x)$ functions in the Weierstrass Polynomial derived from the Residue Theorem?

Is the union of 2 complex analytic sets still a complex analytic set?

An equivalent characterization of the first chern class

About integration by parts of $\partial$ operator

Essential singularity of a holomorphic function of two variables

$(p,q)$-forms and notation

An irreducible analytic sub-variety of a complex manifold is connected.

Holomorphic function from $\mathbb{C}\mathbb{P}^n$ to $\mathbb{C}$ is constant

If $\iota(x,y,u,v):=(x+iy,u+iv)$, then $\iota(x,y,(x,y)A^T)$ is complex subspace of $\mathbb{C}^2$

Prove that $\mathbb{C}\mathbb{P}^n$ is connected

Understanding Hörmanders Theorem 1.3.3 and properties of hull

Showing that $\tau(t) = (t^2, t^3)$ is not a submanifold

Properties of conjugate function of an analytic function

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