Convergence of the inverse Monge-Ampere flow and Nadel multiplier ideal sheaves
| Autor: | Klemyatin, Nikita |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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 K\"ahler-Einstein metric. We also show that if the underlying manifold does not admit K\"ahler-Einstein metric, then the flow develops Nadel multiplier ideal sheaves. In addition, we establish the linear lower bound for $\inf_X\varphi$, and the theorem of Darvas and He for the inverse Monge-Ampere flow. Comment: 30 pages; v2: Theorem 1.3 is strengthened and minor typos are fixed |
| Databáze: | arXiv |
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