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 2022Show all

3 papers · 1 filter

math.AG2022

Open problems on structure of positively curved projective varieties

Shin-ichi Matsumura

We provide supplements and open problems related to structure theorems for maximal rationally connected fibrations of certain positively curved projective varieties, including smoo…

math.AG2022★ 4 cited

On the minimal model program for projective varieties with pseudo-effective tangent sheaf

Shin-ichi Matsumura

In this paper, we develop a theory of pseudo-effective sheaves on normal projective varieties. As an application, by running the minimal model program, we show that projective klt…

math.AG2022★ 11 cited

The Nonvanishing problem for varieties with nef anticanonical bundle

Vladimir Lazić, Shin-ichi Matsumura, Thomas Peternell +2

We prove that if $(X, Δ)$ is a threefold pair with mild singularities such that $- (K_{X} + Δ)$ is nef, then the numerical class of $- (K_{X} + Δ)$ is effective.