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arXiv · 2401.01153

Quantization of the K\"ahler-Ricci flow and optimal destabilizer for a Fano manifold

Tomoyuki Hisamoto
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Abstract

For a Fano manifold, We consider the geometric quantization of the K\"ahler-Ricci flow and the associated entropy functional. Convergence to the original flow and entropy is established. It is also possible to formulate the finite-dimensional analogue of the optimal degeneration for the anti-canonical polarization.

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Tomoyuki Hisamoto. 2024-01-02. Quantization of the K\"ahler-Ricci flow and optimal destabilizer for a Fano manifold. https://arxiv.org/abs/2401.01153

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