3 papers
math.DG2025
Variation of Kahler-Einstein metrics with mixed singularities
Xin Fu, Jiyuan Han, Yongpan Zou
In this short note, we consider a fiberation f: (X, Delta) to Y between two compact Kahler manifolds with generic fiber of f being a smooth log canonical pair with ample canonical…
math.AG2024
On the Kodaira dimension of some algebraic fiber spaces
Yongpan Zou
In this paper, we study the descent of positivity of the canonical bundle along fiber spaces. As a consequence, we prove a conjecture of Schnell, establishing the equivalence betwe…
math.AG2024
On the direct image of the adjoint big and nef line bundles
Yuta Watanabe, Yongpan Zou
We investigate the positivity properties of the direct image of the adjoint line bundle associated with a big and nef line bundle , under a smooth…