Stability properties of adapted tangent sheaves on Kähler--Einstein log Fano pairs
Abstract
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 $f: Y \to X$.
Fields of Study & Subjects
Geometry and complex manifolds
Algebraic Geometry and Number Theory
Advanced Algebra and Geometry
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 27 January 2026
- Document type
- Preprint