List questions from several-complex-variables

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A function holomorphic on all of $\mathbb{C}^n$ cannot have a nonempty bounded set as it set of zeroes

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52

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If $U$ is a connected open subset of $\mathbb{C}^n,n>2$ and $V$ is a closed subvariety of $U$, show that $U-V$ is connected

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38

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real holomorphic field definition equivalence problem.

Published on 25 Mar 2026 - 9:22

65

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Can we throw away points to make a Holomorphic injection into a homeomorphism?

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225

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Several variables contour integral

Published on 01 Apr 2026 - 9:30

97

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Extension of holomorphic function to exceptional divisors

Published on 10 May 2026 - 11:19

85

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A real-analytic radial function on closed unit ball which peaks at zero is strictly decreasing

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92

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Maximal Natural Domain of An Analytic Function on Complex Plane

Published on 25 Mar 2026 - 6:01

172

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Upper envelope of plurisubharmonic functions

Published on 10 May 2026 - 14:55

101

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Factorising vector spaces

Published on 30 Apr 2026 - 13:36

53

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Simplify a symmetric complex function .

Published on 25 Mar 2026 - 7:38

414

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Show that $f(x,y,z)=x^2-y^2z$ is irreducible in $\mathbb{C}[x,y,z]$.

Published on 10 May 2026 - 15:56

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Questions About the Proof of Cauchy–Pompeiu Integral Formula.

Published on 25 Mar 2026 - 7:45

35

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roots of a several variable for the equation $y-3x^2-y^3=0$

Published on 25 Mar 2026 - 7:44

List Question

How to show $f$ is identically equal to 0 in several complex variables

A function holomorphic on all of $\mathbb{C}^n$ cannot have a nonempty bounded set as it set of zeroes

If $U$ is a connected open subset of $\mathbb{C}^n,n>2$ and $V$ is a closed subvariety of $U$, show that $U-V$ is connected

real holomorphic field definition equivalence problem.

Can we throw away points to make a Holomorphic injection into a homeomorphism?

Several variables contour integral

Extension of holomorphic function to exceptional divisors

A real-analytic radial function on closed unit ball which peaks at zero is strictly decreasing

Maximal Natural Domain of An Analytic Function on Complex Plane

Upper envelope of plurisubharmonic functions

Factorising vector spaces

Simplify a symmetric complex function .

Show that $f(x,y,z)=x^2-y^2z$ is irreducible in $\mathbb{C}[x,y,z]$.

Questions About the Proof of Cauchy–Pompeiu Integral Formula.

roots of a several variable for the equation $y-3x^2-y^3=0$

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