39 citations · 187 across the 37 of their papers we have counts for
5 papers · 1 filter
Uniform -estimates for flat nontrivial line bundles on compact complex manifolds
Yoshinori Hashimoto, Takayuki Koike, Shin-ichi Matsumura
In this paper, we extend the uniform -estimate of -equations for flat nontrivial line bundles, proved for compact Kähler manifolds in the previous work, to com…
Injectivity theorems for higher direct images under proper Kähler morphisms on snc spaces
Tsz On Mario Chan, Young-Jun Choi, Shin-ichi Matsumura
Let be a complex manifold, and let and be two reduced simple-normal-crossing (snc) divisors on with no common irreducible components. Given a proper locally Kähler…
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 and a singular Hermitian line bundle on with semi-positive curvature. We prove that the direct…
Minimal projective varieties satisfying Miyaoka's equality
Masataka Iwai, Shin-ichi Matsumura, Niklas Müller
In this paper, we establish a structure theorem for minimal projective klt varieties that satisfiy Miyaoka's equality . Specifically, we prove that the cano…
Nakano positivity of singular Hermitian metrics: Approximations and applications
Takahiro Inayama, Shin-ichi Matsumura
This paper studies the approximation of singular Hermitian metrics on vector bundles using smooth Hermitian metrics with Nakano semi-positive curvature on Zariski open sets. We sho…