arXiv subjects

Louis Dailly

Publications and source records attributed to Louis Dailly.

2 recordsLinked to original sources

arXiv2026

Stability properties of adapted tangent sheaves on Kähler--Einstein log Fano pairs

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 $f: Y \to X$.

math.DG↗

arXiv2025

Miyaoka-Yau equality and uniformization of log Fano pairs

Let $(X, Δ)$ be a log Fano pair with standard coefficients. We show that if it satisfies the equality case in the Miyaoka-Yau inequality, then its orbifold universal cover is a projective space.

math.AG↗