39 citations · 187 across the 37 of their papers we have counts for
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Variation of numerical dimension of singular hermitian line bundles
Shin-ichi Matsumura
The purpose of this paper is to give two supplements for vanishing theorems: One is a relative version of the Kawamata-Viehweg-Nadel type vanishing theorem, which is obtained from…
On projective manifolds with semi-positive holomorphic sectional curvature
Shin-ichi Matsumura
In this paper, we establish a structure theorem for a smooth projective variety with semi-positive holomorphic sectional curvature. Our structure theorem contains the solution…
On morphisms of compact Kähler manifolds with semi-positive holomorphic sectional curvature
Shin-ichi Matsumura
In this paper, with the aim of establishing a structure theorem for a compact Kähler manifold with semi-positive holomorphic sectional curvature, we study a morphism $ϕ: X \to…
On the image of MRC fibrations of projective manifolds with semi-positive holomorphic sectional curvature
Shin-ichi Matsumura
In this paper, we pose several conjectures on structures and images of maximal rationally connected fibrations of smooth projective varieties admitting semi-positive holomorphic se…