2 papers
math.AG2026
Positivity of tangent bundle of weak Del Pezzo surfaces of degree
Qimin Zhang
In this paper, we prove that for any weak Del Pezzo surface of degree at least , the tangent bundle is almost nef. For the proof, we use total dual VMRTs induced by co…
math.AG2025
Beauville--Bogomolov--Yau decomposition for Kähler generalized pairs
Shin-ichi Matsumura, Juanyong Wang, Xiaojun Wu +1
In this paper, we establish the Beauville--Bogomolov--Yau decomposition for generalized pairs in the Kähler setting, thereby extending this structure theorem to the natural framewo…