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<p>In this note, we establish an asymptotic formula for the Segre classes of higher symmetric powers of vector bundles. As an application, we show that a sufficiently higher symmetric power of the tangent bundle of a Campana–Peternell manifold is big.</p>

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An Asymptotic Formula for the Segre Classes

  • 期刊论文

  • 发表日期：

    2025年2月15日

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  • Yaxiong Liu,
  • Zhuo Liu,
  • Hui Yang

摘要

In this note, we establish an asymptotic formula for the Segre classes of higher symmetric powers of vector bundles. As an application, we show that a sufficiently higher symmetric power of the tangent bundle of a Campana–Peternell manifold is big.