Question

Why does $\bigwedge^p(L_1\oplus\cdots\oplus L_p)\cong L_1\otimes\cdots\otimes L_p$?

score 66 · Answer 1 · 2015-04-24 13:58:28

66

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Why does $\bigwedge^p(L_1\oplus\cdots\oplus L_p)\cong L_1\otimes\cdots\otimes L_p$?

Published on 24 Apr 2015 - 13:58

score 178 · Answer 2 · 2015-04-24 14:19:53

178

Views

What's Griffiths' ampleness in modern language?

Published on 24 Apr 2015 - 14:19

score 948 · Answer 3 · 2015-04-27 07:01:59

948

Views

Vector Bundles：differential geometry vs algebraic geometry

Published on 27 Apr 2015 - 7:01

score 724 · Answer 4 · 2015-04-27 08:24:06

724

Views

Dual bundle of a stable vector bundle.

Published on 27 Apr 2015 - 8:24

score 987 · Answer 5 · 2015-04-28 20:17:29

987

Views

Rank $n$ vector bundle with $n$ pointwise linearly independent sections is trivial

Published on 28 Apr 2015 - 20:17

score 1k · Answer 6 · 2015-04-30 08:45:14

1k

Views

Properties of the category of smooth vector bundles over a smooth manifold

Published on 30 Apr 2015 - 8:45

score 63 · Answer 7 · 2026-03-25 14:21:56

63

Views

Thom space for complex bundles

Published on 25 Mar 2026 - 14:21

score 312 · Answer 8 · 2026-03-26 20:40:42

312

Views

Tangent bundle of manifold with no odd dimensional sub-bundles

Published on 26 Mar 2026 - 20:40

score 41 · Answer 9 · 2015-05-03 11:45:08

41

Views

The exact sequence $0 \rightarrow L(-1) \rightarrow L(0)^2 \rightarrow L(1) \rightarrow 0$

Published on 03 May 2015 - 11:45

score 190 · Answer 10 · 2015-05-05 08:38:02

190

Views

Are sections of vector bundles $E\to X$ over schemes necessarily closed embeddings?

Published on 05 May 2015 - 8:38

score 1k · Answer 11 · 2015-05-05 19:26:01

1k

Views

Direct proof of decomposition of real vector bundle of odd degree into the direct sum of a trivial bundle and another of even degree

Published on 05 May 2015 - 19:26

score 378 · Answer 12 · 2026-03-26 20:44:14

378

Views

Stiefel-Whitney Numbers of $\mathbb{R}P^2\times \mathbb{R}P^2$

Published on 26 Mar 2026 - 20:44

score 98 · Answer 13 · 2015-05-06 08:03:08

98

Views

Confusion over common criterion for a line bundle on a scheme to be trivial?

Published on 06 May 2015 - 8:03

score 38 · Answer 14 · 2015-05-06 18:10:38

38

Views

Finding Eigenvectors when we have lots of zeroes

Published on 06 May 2015 - 18:10

score 985 · Answer 15 · 2015-05-07 21:30:36

985

Views

Direct sum of nontrivial vector bundles?

Published on 07 May 2015 - 21:30

List Question

Why does $\bigwedge^p(L_1\oplus\cdots\oplus L_p)\cong L_1\otimes\cdots\otimes L_p$?

What's Griffiths' ampleness in modern language?

Vector Bundles：differential geometry vs algebraic geometry

Dual bundle of a stable vector bundle.

Rank $n$ vector bundle with $n$ pointwise linearly independent sections is trivial

Properties of the category of smooth vector bundles over a smooth manifold

Thom space for complex bundles

Tangent bundle of manifold with no odd dimensional sub-bundles

The exact sequence $0 \rightarrow L(-1) \rightarrow L(0)^2 \rightarrow L(1) \rightarrow 0$

Are sections of vector bundles $E\to X$ over schemes necessarily closed embeddings?

Direct proof of decomposition of real vector bundle of odd degree into the direct sum of a trivial bundle and another of even degree

Stiefel-Whitney Numbers of $\mathbb{R}P^2\times \mathbb{R}P^2$

Confusion over common criterion for a line bundle on a scheme to be trivial?

Finding Eigenvectors when we have lots of zeroes

Direct sum of nontrivial vector bundles?

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