Singular Nakano positivity of direct image sheaves of adjoint bundles

Takahiro Inayama, Shin-ichi Matsumura, Yuta Watanabe

In this paper, we consider a proper Kähler fibration $f:X\to Y$ and a singular Hermitian line bundle $(L,h)$ on $X$ with semi-positive curvature. We prove that the direct…