Quantization of the Kähler-Ricci flow and optimal destabilizer for a Fano manifold
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913182943019008 |
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| author | Hisamoto, Tomoyuki |
| author_facet | Hisamoto, Tomoyuki |
| contents | 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. It is also possible to formulate the finite-dimensional analogue of the optimal degeneration for the anti-canonical polarization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_01153 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantization of the Kähler-Ricci flow and optimal destabilizer for a Fano manifold Hisamoto, Tomoyuki Differential Geometry 53C55, 53E30, 32Q20, 32Q26 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. It is also possible to formulate the finite-dimensional analogue of the optimal degeneration for the anti-canonical polarization. |
| title | Quantization of the Kähler-Ricci flow and optimal destabilizer for a Fano manifold |
| topic | Differential Geometry 53C55, 53E30, 32Q20, 32Q26 |
| url | https://arxiv.org/abs/2401.01153 |