Question

Semistable bundle over a curve of a sufficiently high degree is globally generated

score 142 · Answer 1 · 2020-12-27 22:06:46

142

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Semistable bundle over a curve of a sufficiently high degree is globally generated

Published on 27 Dec 2020 - 22:06

score 623 · Answer 2 · 2026-04-01 18:50:46

623

Views

Proving that $TS^n \oplus (S^n \times \mathbb{R}) \cong S^n \times \mathbb{R}^{n+1}$ as vector bundles.

Published on 01 Apr 2026 - 18:50

score 128 · Answer 3 · 2026-03-27 23:13:57

128

Views

Vector Bundles, Principal Bundles and Bundle of Frames

Published on 27 Mar 2026 - 23:13

score 298 · Answer 4 · 2026-03-26 17:53:14

298

Views

Restricting split short exact sequence of quasi-coherent sheaves to their coherent sub-sheaves.

Published on 26 Mar 2026 - 17:53

score 48 · Answer 5 · 2021-01-01 05:01:13

48

Views

Smooth Solution of a Consistent Linear System

Published on 01 Jan 2021 - 5:01

score 227 · Answer 6 · 2021-01-07 08:39:34

227

Views

About trivial restrictions of a vector bundle

Published on 07 Jan 2021 - 8:39

score 164 · Answer 7 · 2021-01-07 16:30:02

164

Views

Pullback of locally free sheaf over the associated vector bundle

Published on 07 Jan 2021 - 16:30

score 57 · Answer 8 · 2021-01-09 06:24:23

57

Views

Kernels of the surjection from trivial vector bundle to $\mathcal{O}(k)$.

Published on 09 Jan 2021 - 6:24

score 78 · Answer 9 · 2021-01-11 04:43:55

78

Views

Degree of vector bundle under extension of scalars.

Published on 11 Jan 2021 - 4:43

score 625 · Answer 10 · 2026-03-28 08:08:55

625

Views

A question about the complex conjugate bundle

Published on 28 Mar 2026 - 8:08

score 36 · Answer 11 · 2021-01-17 22:44:01

36

Views

Symplectic potential determines local trivialization?

Published on 17 Jan 2021 - 22:44

score 67 · Answer 12 · 2026-03-26 14:33:50

67

Views

Generalizing the clutching construction to more contractible open sets

Published on 26 Mar 2026 - 14:33

score 99 · Answer 13 · 2026-03-29 20:06:17

99

Views

Christoffel symbols $\Gamma$ as an $\text{End}(E)$-valued one-form implies it is a tensor field?!

Published on 29 Mar 2026 - 20:06

score 67 · Answer 14 · 2021-01-19 18:50:03

67

Views

Direct summands of successive extensions of line bundles

Published on 19 Jan 2021 - 18:50

score 572 · Answer 15 · 2021-01-23 01:38:50

572

Views

Bianchi Identity in Chern's book

Published on 23 Jan 2021 - 1:38

List Question

Semistable bundle over a curve of a sufficiently high degree is globally generated

Proving that $TS^n \oplus (S^n \times \mathbb{R}) \cong S^n \times \mathbb{R}^{n+1}$ as vector bundles.

Vector Bundles, Principal Bundles and Bundle of Frames

Restricting split short exact sequence of quasi-coherent sheaves to their coherent sub-sheaves.

Smooth Solution of a Consistent Linear System

About trivial restrictions of a vector bundle

Pullback of locally free sheaf over the associated vector bundle

Kernels of the surjection from trivial vector bundle to $\mathcal{O}(k)$.

Degree of vector bundle under extension of scalars.

A question about the complex conjugate bundle

Symplectic potential determines local trivialization?

Generalizing the clutching construction to more contractible open sets

Christoffel symbols $\Gamma$ as an $\text{End}(E)$-valued one-form implies it is a tensor field?!

Direct summands of successive extensions of line bundles

Bianchi Identity in Chern's book

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