Globally Generated Vector Bundles with c₁ = 1 over Grassmannians

Abstract

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.

Keywords

Uniform vector bundle / Harder–Narasimhan filtration / Grassmannian

References

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Peking University

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