Stability of homogeneous bundles on \(\mathbb P^{3}\) (Q431052)
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scientific article; zbMATH DE number 6050469
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of homogeneous bundles on \(\mathbb P^{3}\) |
scientific article; zbMATH DE number 6050469 |
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Stability of homogeneous bundles on \(\mathbb P^{3}\) (English)
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26 June 2012
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In [Lond. Math. Soc. Lect. Note Ser. 148, 45--55 (1990; Zbl 0742.14011)], \textit{A. I. Bondal} and \textit{M. M. Kapranov} gave a combinatorial description for homogeneous vector bundles on homogeneous varieties. In particular, they constructed a representation of a quiver for each homogeneous vector bundle over projective spaces. In this paper, the author shows that a homogeneous vector bundle over \(\mathbb P^3\) is stable when its quiver support is a parallelepiped or a classical staircase.
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stable vector bundles
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quiver representations
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