2 papers
math.CV2026
A converse of Berndtsson's theorem on the positivity of direct images
Wang Xu, Hui Yang
Berndtsson's famous theorem asserts that, for a compact Kähler fibration , the direct image bundle of a semi-positive Hermitian holomorphic line b…
math.CV2025
On the Converse of Prékopa's Theorem and Berndtsson's Theorem
Wang Xu, Hui Yang
Given a continuous function defined on a domain , we show that if a Prékopa-type result holds for for any non-negative convex func…