List questions from complex-geometry

Published on 25 Mar 2026 - 7:42

119

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What does the surface |z₁|² = |z₂|² look like?

Published on 25 Mar 2026 - 7:49

302

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Stereographic projection $\mathbb{C}\mathbb{P}^1\longrightarrow\mathcal{S}^2$ between complex projective line and $2$-sphere is continuous

Published on 25 Mar 2026 - 4:38

546

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Why is every smooth quartic in $\Bbb{P}^3$ a K3 surface?

Published on 04 Apr 2020 - 15:42

154

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Are the chart maps of a complex manifold necessarily biholomorphic?

Published on 25 Mar 2026 - 7:43

552

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Explicitly Understanding a Case of Dolbeault's Theorem.

Published on 26 Mar 2026 - 4:51

147

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complex differentiability of conformal function

Published on 06 Apr 2020 - 9:58

53

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Non fundamental point with local ring integrally closed is necessarily regular?

Published on 07 Apr 2020 - 17:30

408

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When does the pullback of differential forms preserve cohomology classes: $[\alpha]=[F^* \alpha]$?

Published on 25 Mar 2026 - 7:43

100

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Action of covering involution on Neron-Severi group

Published on 25 Mar 2026 - 14:37

177

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Chern character of $\mathrm{ch}(i_* \mathcal{O}_L)$ for $i: L \hookrightarrow X$ a line

Published on 29 Mar 2026 - 15:16

292

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positivity of (1,1) forms

Published on 10 Apr 2020 - 22:53

148

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Is restriction of projection a covering map?

Published on 15 Apr 2020 - 9:03

73

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Reference\definiton for\of analytic families

Published on 17 Apr 2020 - 13:44

472

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Remembering Riemann-Roch

Published on 25 Mar 2026 - 12:52

List Question

Dimension of the complex projective space $\mathbb{C}\mathbb{P}^n$ as almost complex manifold

What does the surface |z₁|² = |z₂|² look like?

Stereographic projection $\mathbb{C}\mathbb{P}^1\longrightarrow\mathcal{S}^2$ between complex projective line and $2$-sphere is continuous

Why is every smooth quartic in $\Bbb{P}^3$ a K3 surface?

Are the chart maps of a complex manifold necessarily biholomorphic?

Explicitly Understanding a Case of Dolbeault's Theorem.

complex differentiability of conformal function

Non fundamental point with local ring integrally closed is necessarily regular?

When does the pullback of differential forms preserve cohomology classes: $[\alpha]=[F^* \alpha]$?

Action of covering involution on Neron-Severi group

Chern character of $\mathrm{ch}(i_* \mathcal{O}_L)$ for $i: L \hookrightarrow X$ a line

positivity of (1,1) forms

Is restriction of projection a covering map?

Reference\definiton for\of analytic families

Remembering Riemann-Roch

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