Stability properties of adapted tangent sheaves on Kähler--Einstein log Fano pairs
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911402588897280 |
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| author | Dailly, Louis |
| author_facet | Dailly, Louis |
| contents | Let $(X, Δ)$ be a log Fano pair with standard coefficients endowed with a singular Kähler--Einstein metric. We show that the adapted tangent sheaf $\mathcal{T}_{X, Δ, f}$ and the adapted canonical extension $\mathcal{E}_{X, Δ, f}$ are polystable with respect to $f^*c_1(X, Δ)$ for any strictly $Δ$-adapted morphism $f: Y \to X$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_19608 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stability properties of adapted tangent sheaves on Kähler--Einstein log Fano pairs Dailly, Louis Differential Geometry Algebraic Geometry 32Q20, 14J45 Let $(X, Δ)$ be a log Fano pair with standard coefficients endowed with a singular Kähler--Einstein metric. We show that the adapted tangent sheaf $\mathcal{T}_{X, Δ, f}$ and the adapted canonical extension $\mathcal{E}_{X, Δ, f}$ are polystable with respect to $f^*c_1(X, Δ)$ for any strictly $Δ$-adapted morphism $f: Y \to X$. |
| title | Stability properties of adapted tangent sheaves on Kähler--Einstein log Fano pairs |
| topic | Differential Geometry Algebraic Geometry 32Q20, 14J45 |
| url | https://arxiv.org/abs/2601.19608 |