Question

Why not define a "Dolbeaut complex" with $\partial$ instead of $\overline{\partial}$?

score 232 · Answer 1 · 2018-05-17 00:43:37

232

Views

Why not define a "Dolbeaut complex" with $\partial$ instead of $\overline{\partial}$?

Published on 17 May 2018 - 0:43

score 262 · Answer 2 · 2018-05-17 05:40:16

262

Views

Complex structures vs inner products on $\mathbb{R}^2$

Published on 17 May 2018 - 5:40

score 668 · Answer 3 · 2026-03-25 17:20:58

668

Views

Definition of the volume form on a Hermitian manifold

Published on 25 Mar 2026 - 17:20

score 194 · Answer 4 · 2018-05-20 00:02:54

194

Views

Homotopy class of almost complex structures

Published on 20 May 2018 - 0:02

score 223 · Answer 5 · 2026-03-25 01:20:31

223

Views

Volume of a divisor of a Calabi-Yau manifold

Published on 25 Mar 2026 - 1:20

score 134 · Answer 6 · 2026-03-25 06:13:03

134

Views

$\int_H c_1 (\mathcal O_{\mathbb P^2(k)}|_H)$, integral of restriction of Chern class to a projective hypersurface

Published on 25 Mar 2026 - 6:13

score 480 · Answer 7 · 2018-05-20 21:27:16

480

Views

Definition of hermitian structure on a complex manifold and the associated form

Published on 20 May 2018 - 21:27

score 332 · Answer 8 · 2026-03-25 19:03:27

332

Views

One-dimensional Sheaves and Pushforwards of Vector Bundles

Published on 25 Mar 2026 - 19:03

score 948 · Answer 9 · 2026-03-25 14:29:05

948

Views

Why image of a line in complex plane is a circle in the Riemann sphere?

Published on 25 Mar 2026 - 14:29

score 224 · Answer 10 · 2018-05-22 20:46:52

224

Views

Cohomology class of a meromorphic differential form

Published on 22 May 2018 - 20:46

score 282 · Answer 11 · 2018-05-23 04:56:03

282

Views

If $f$ is a nowhere vanishing holomorphic function, is $\partial \overline{\partial}\log |f|^2 = 0$?

Published on 23 May 2018 - 4:56

score 103 · Answer 12 · 2018-05-23 14:57:55

103

Views

What is the value of $\operatorname{Arg}(\frac{z}{\bar{z}})$?

Published on 23 May 2018 - 14:57

score 78 · Answer 13 · 2018-05-23 15:27:44

78

Views

How do I plot $-\frac{\pi}{2} \leq \operatorname{Arg}\left(\frac{z}{\bar{z}}\right) \leq\frac{\pi}{2}$ on the complex plane?

Published on 23 May 2018 - 15:27

score 714 · Answer 14 · 2026-03-25 06:01:28

714

Views

Entire function mapping a parallelogram onto another one is a degree 1 polynomial

Published on 25 Mar 2026 - 6:01

score 134 · Answer 15 · 2026-03-25 07:41:55

134

Views

Kähler potential in $\Bbb C^n$

Published on 25 Mar 2026 - 7:41

List Question

Why not define a "Dolbeaut complex" with $\partial$ instead of $\overline{\partial}$?

Complex structures vs inner products on $\mathbb{R}^2$

Definition of the volume form on a Hermitian manifold

Homotopy class of almost complex structures

Volume of a divisor of a Calabi-Yau manifold

$\int_H c_1 (\mathcal O_{\mathbb P^2(k)}|_H)$, integral of restriction of Chern class to a projective hypersurface

Definition of hermitian structure on a complex manifold and the associated form

One-dimensional Sheaves and Pushforwards of Vector Bundles

Why image of a line in complex plane is a circle in the Riemann sphere?

Cohomology class of a meromorphic differential form

If $f$ is a nowhere vanishing holomorphic function, is $\partial \overline{\partial}\log |f|^2 = 0$?

What is the value of $\operatorname{Arg}(\frac{z}{\bar{z}})$?

How do I plot $-\frac{\pi}{2} \leq \operatorname{Arg}\left(\frac{z}{\bar{z}}\right) \leq\frac{\pi}{2}$ on the complex plane?

Entire function mapping a parallelogram onto another one is a degree 1 polynomial

Kähler potential in $\Bbb C^n$

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