39 citations · 187 across the 37 of their papers we have counts for
12 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…
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…
An injectivity theorem on snc compact Kähler spaces: an application of the theory of harmonic integrals on log-canonical centers via adjoint ideal sheaves
Tsz On Mario Chan, Young-Jun Choi, Shin-ichi Matsumura
Let be a log-canonical (lc) pair, in which is a compact Kähler manifold and is a reduced snc divisor, and let be a holomorphic line bundle on equipped with…
A transcendental approach to injectivity theorem for log canonical pairs
Shin-ichi Matsumura
In this paper, we study transcendental aspects of the cohomology groups of adjoint bundles of log canonical pairs, aiming to establish an analytic theory for log canonical singular…
Injectivity theorems with multiplier ideal sheaves for higher direct images under K"ahler morphisms
Shin-ichi Matsumura
The purpose of this paper is to establish injectivity theorems for higher direct image sheaves of canonical bundles twisted by pseudo-effective line bundles and multiplier ideal sh…
Injectivity theorems with multiplier ideal sheaves and their applications
Shin-ichi Matsumura
The purpose of this survey is to present analytic versions of the injectivity theorem and their applications. The proof of our injectivity theorems is based on a combination of the…
A vanishing theorem of Koll'ar-Ohsawa type
Shin-ichi Matsumura
For proper surjective holomorphic maps from K"ahler manifolds to analytic spaces, we give a decomposition theorem for the cohomology groups of the canonical bundle twisted by Nakan…
An injectivity theorem with multiplier ideal sheaves of singular metrics with transcendental singularities
Shin-ichi Matsumura
The purpose of this paper is to establish an injectivity theorem generalized to pseudo-effective line bundles with transcendental (non-algebraic) singular hermitian metrics and mul…
A Nadel vanishing theorem for metrics with minimal singularities on big line bundles
Shin-ichi Matsumura
The purpose of this paper is to establish a Nadel vanishing theorem for big line bundles with multiplier ideal sheaves of singular metrics admitting an analytic Zariski decompositi…
An ampleness criterion with the extendability of singular positive metrics
Shin-ichi Matsumura
Coman, Guedj and Zeriahi proved that, for an ample line bundle on a projective manifold , any singular positive metric on the line bundle along a subvariety $V \sub…
Asymptotic cohomology vanishing and a converse to the Andreotti-Grauert theorem on surfaces
Shin-ichi Matsumura
In this paper, we study relations between positivity of the curvature and the asymptotic behavior of the higher cohomology group for tensor powers of a holomorphic line bundle. The…