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In this survey article we present results on the curvature of direct image sheaves \(R^qf_*\Omega ^P_\mathcal {X/S}(\mathcal E)\) on families of compact Kähler manifolds—beginning with classical results for families of compact Riemann surfaces up to very recent answers.

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Curvature of Direct Images in Complex Geometry

  • 会议论文

  • 发表日期：

    2025年

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  • Young-Jun Choi,
  • Georg Schumacher

摘要

In this survey article we present results on the curvature of direct image sheaves \(R^qf_*\Omega ^P_\mathcal {X/S}(\mathcal E)\) on families of compact Kähler manifolds—beginning with classical results for families of compact Riemann surfaces up to very recent answers.