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<p>For a Fano manifold, We consider the geometric quantization of the Kähler-Ricci flow and the associated entropy functional. Convergence to the original flow and entropy is established. Based on these results we formulate the finite-dimensional approximation of the optimal degeneration for the anti-canonical polarization.</p>

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Quantization of the Kähler-Ricci flow and optimal destabilizer for a Fano manifold

  • 期刊论文

  • 发表日期：

    2026年3月19日

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  • Tomoyuki Hisamoto

摘要

For a Fano manifold, We consider the geometric quantization of the Kähler-Ricci flow and the associated entropy functional. Convergence to the original flow and entropy is established. Based on these results we formulate the finite-dimensional approximation of the optimal degeneration for the anti-canonical polarization.