Shin-ichi Matsumura

activity

20102026

most citedA general extension theorem for cohomology classes on non reduced analytic spaces

39 citations · 187 across the 37 of their papers we have counts for

collaborators

Showing 2024 · math.CVShow all

3 papers · 2 filters

math.CV2024

Uniform $L^{2}$ -estimates for flat nontrivial line bundles on compact complex manifolds

Yoshinori Hashimoto, Takayuki Koike, Shin-ichi Matsumura

In this paper, we extend the uniform $L^{2}$ -estimate of $\partial ˉ$ -equations for flat nontrivial line bundles, proved for compact Kähler manifolds in the previous work, to com…

math.CV2024

Injectivity theorems for higher direct images under proper Kähler morphisms on snc spaces

Tsz On Mario Chan, Young-Jun Choi, Shin-ichi Matsumura

Let $X$ be a complex manifold, and let $Y$ and $D$ be two reduced simple-normal-crossing (snc) divisors on $X$ with no common irreducible components. Given a proper locally Kähler…

math.CV2024

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…

Uniform L2-estimates for flat nontrivial line bundles on compact complex manifolds

Injectivity theorems for higher direct images under proper Kähler morphisms on snc spaces

Nakano positivity of singular Hermitian metrics: Approximations and applications

Uniform $L^{2}$ -estimates for flat nontrivial line bundles on compact complex manifolds