Convergence of the inverse Monge-Ampere flow and Nadel multiplier ideal sheaves
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866911151881715712 |
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| author | Klemyatin, Nikita |
| author_facet | Klemyatin, Nikita |
| contents | We generalize the inverse Monge-Ampere flow, which was introduced in \cite{CHT17}, and provide conditions that guarantee the convergence of the flow without a priori assumption that $X$ has a Kähler-Einstein metric. We also show that if the underlying manifold does not admit Kähler-Einstein metric, then the flow develops Nadel multiplier ideal sheaves. In addition, we establish the linear lower bound for $\inf_Xφ$, and the theorem of Darvas and He for the inverse Monge-Ampere flow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_17978 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Convergence of the inverse Monge-Ampere flow and Nadel multiplier ideal sheaves Klemyatin, Nikita Differential Geometry Algebraic Geometry We generalize the inverse Monge-Ampere flow, which was introduced in \cite{CHT17}, and provide conditions that guarantee the convergence of the flow without a priori assumption that $X$ has a Kähler-Einstein metric. We also show that if the underlying manifold does not admit Kähler-Einstein metric, then the flow develops Nadel multiplier ideal sheaves. In addition, we establish the linear lower bound for $\inf_Xφ$, and the theorem of Darvas and He for the inverse Monge-Ampere flow. |
| title | Convergence of the inverse Monge-Ampere flow and Nadel multiplier ideal sheaves |
| topic | Differential Geometry Algebraic Geometry |
| url | https://arxiv.org/abs/2411.17978 |