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<p>In this paper, we classify globally generated vector bundles with the first Chern class equal to 1 over Grassmannian <i>G</i>(<i>d,n</i>) (1 ≤ <i>d</i> ≤ <i>n</i> − <i>d</i>) over an algebraically closed field in characteristic zero, from the perspective of uniform vector bundles. In particular, we show that they are homogeneous.</p>

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Globally Generated Vector Bundles with c1 = 1 over Grassmannians

  • 期刊论文

  • 发表日期：

    2025年6月5日

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  • Dazhi Zhang

摘要

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.