Question

Redundancy with basis vectors for $T_pM^\mathbb C \cong T_pM^{1,0} \oplus T_pM^{0,1}$

score 90 · Answer 1 · 2023-08-25 11:24:57

90

Views

Redundancy with basis vectors for $T_pM^\mathbb C \cong T_pM^{1,0} \oplus T_pM^{0,1}$

Published on 25 Aug 2023 - 11:24

score 51 · Answer 2 · 2023-09-02 11:54:49

51

Views

Holomorphic maps of complex manifolds preserve the bidegree of a complex differential form

Published on 02 Sep 2023 - 11:54

score 55 · Answer 3 · 2023-09-14 13:19:04

55

Views

Analytic variety induced by an irreducible polynomial

Published on 14 Sep 2023 - 13:19

score 53 · Answer 4 · 2023-09-20 20:21:23

53

Views

Compact connected complex/holomorphic manifold that embeds in $\mathbb{C}^n$

Published on 20 Sep 2023 - 20:21

score 132 · Answer 5 · 2023-09-28 12:54:00

132

Views

Tangent spaces of $\Bbb P^1$

Published on 28 Sep 2023 - 12:54

score 134 · Answer 6 · 2023-10-02 17:12:36

134

Views

Nice coordinate presentation of the covering map $S^2 \to \mathbb{R}P^2$

Published on 02 Oct 2023 - 17:12

score 75 · Answer 7 · 2023-10-04 09:07:53

75

Views

Global sections of $\mathcal{O}(k)$ over $\mathbb{P}^1$.

Published on 04 Oct 2023 - 9:07

score 71 · Answer 8 · 2023-10-06 06:59:42

71

Views

Prove that $H^0(M,TM) \cong H^0(M_1,TM_1) \oplus H^0(M_2,TM_2).$ Roughly every vector field on $M$ is uniquely the sum of vector fields.

Published on 06 Oct 2023 - 6:59

score 19 · Answer 9 · 2023-10-08 17:49:43

19

Views

Why is the set of points in $\mathbb{C}P^2$ where a non-degenerated quadratic form vanishes biholomorphic to $\mathbb{C}P^1$?

Published on 08 Oct 2023 - 17:49

score 26 · Answer 10 · 2023-11-09 16:50:20

26

Views

Real Description of a Kähler Manifold

Published on 09 Nov 2023 - 16:50

score 53 · Answer 11 · 2023-11-12 11:57:39

53

Views

Möbius transformation taking line segment between two complex numbers to the segment $[-1,1]$

Published on 12 Nov 2023 - 11:57

score 31 · Answer 12 · 2023-11-28 18:53:57

31

Views

Is a module over a (c-)soft sheaf (c-)soft?

Published on 28 Nov 2023 - 18:53

score 108 · Answer 13 · 2023-11-30 17:00:40

108

Views

Show that $\frac{1}{2\pi i}\int_{\gamma_p}z\frac{h'(z)}{h(z)}dz$ is in $\mathbb{Z}+\mathbb{Z}\tau$

Published on 30 Nov 2023 - 17:00

score 79 · Answer 14 · 2023-12-20 21:08:31

79

Views

What's the formula for the given code? Calabi Yau manifolds

Published on 20 Dec 2023 - 21:08

score 38 · Answer 15 · 2023-12-25 22:22:17

38

Views

Is a manifold defined by a complex-valued analytic function on $\mathbb{R}^d$ considered a real-analytic manifold?

Published on 25 Dec 2023 - 22:22

List Question

Redundancy with basis vectors for $T_pM^\mathbb C \cong T_pM^{1,0} \oplus T_pM^{0,1}$

Holomorphic maps of complex manifolds preserve the bidegree of a complex differential form

Analytic variety induced by an irreducible polynomial

Compact connected complex/holomorphic manifold that embeds in $\mathbb{C}^n$

Tangent spaces of $\Bbb P^1$

Nice coordinate presentation of the covering map $S^2 \to \mathbb{R}P^2$

Global sections of $\mathcal{O}(k)$ over $\mathbb{P}^1$.

Prove that $H^0(M,TM) \cong H^0(M_1,TM_1) \oplus H^0(M_2,TM_2).$ Roughly every vector field on $M$ is uniquely the sum of vector fields.

Why is the set of points in $\mathbb{C}P^2$ where a non-degenerated quadratic form vanishes biholomorphic to $\mathbb{C}P^1$?

Real Description of a Kähler Manifold

Möbius transformation taking line segment between two complex numbers to the segment $[-1,1]$

Is a module over a (c-)soft sheaf (c-)soft?

Show that $\frac{1}{2\pi i}\int_{\gamma_p}z\frac{h'(z)}{h(z)}dz$ is in $\mathbb{Z}+\mathbb{Z}\tau$

What's the formula for the given code? Calabi Yau manifolds

Is a manifold defined by a complex-valued analytic function on $\mathbb{R}^d$ considered a real-analytic manifold?

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