Anomaly Flow: Shi-Type Estimates and Long-time Existence
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916468221804544 |
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| author | Suan, Caleb |
| author_facet | Suan, Caleb |
| contents | We consider the long-time existence of the anomaly flow on a compact complex $3$-fold with general slope parameter $α'$. In particular, we obtain integral Shi-type estimates for the flow by adapting a integration-by-parts type argument instead of the usual maximum principle techniques. Following this, we prescribe a sufficient smallness condition on $α'$ in order to extend the flow on $[0,τ)$ to $[0,τ+ ε)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_15514 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Anomaly Flow: Shi-Type Estimates and Long-time Existence Suan, Caleb Differential Geometry Analysis of PDEs 53E30, 53C07 We consider the long-time existence of the anomaly flow on a compact complex $3$-fold with general slope parameter $α'$. In particular, we obtain integral Shi-type estimates for the flow by adapting a integration-by-parts type argument instead of the usual maximum principle techniques. Following this, we prescribe a sufficient smallness condition on $α'$ in order to extend the flow on $[0,τ)$ to $[0,τ+ ε)$. |
| title | Anomaly Flow: Shi-Type Estimates and Long-time Existence |
| topic | Differential Geometry Analysis of PDEs 53E30, 53C07 |
| url | https://arxiv.org/abs/2408.15514 |