Globally Generated Vector Bundles with c1 = 1 over Grassmannians
Dazhi Zhang
Frontiers of Mathematics ›› : 1 -14.
Globally Generated Vector Bundles with c1 = 1 over Grassmannians
In this paper, we classify globally generated vector bundles with the first Chern class equal to 1 over Grassmannian G(d,n) (1 ≤ d ≤ n − d) over an algebraically closed field in characteristic zero, from the perspective of uniform vector bundles. In particular, we show that they are homogeneous.
Uniform vector bundle / Harder–Narasimhan filtration / Grassmannian
| [1] |
|
| [2] |
|
| [3] |
|
| [4] |
|
| [5] |
Du R., Wang Y., Zhang D., On uniform and nonhomogeneous vector bundles over Grass-mannians. 2024, arXiv:2404.02593 |
| [6] |
|
| [7] |
|
| [8] |
|
| [9] |
|
| [10] |
|
| [11] |
|
| [12] |
|
| [13] |
|
| [14] |
|
Peking University
/
| 〈 |
|
〉 |