3 papers
math.AG2026
Notes on rational chain connectedness
Osamu Fujino
We extend Hacon--M\textsuperscript{c}Kernan's rational chain connectedness theorem to the complex analytic setting. As a consequence, we prove that the fibers of any resolution of…
math.AG2025
On a vanishing theorem for surfaces
Osamu Fujino, Nao Moriyama
We propose a new formulation of a vanishing theorem for surfaces. Although this vanishing theorem follows easily from the well-known Kawamata--Viehweg vanishing theorem, it turns o…
math.AG2025
Remarks on log pluricanonical representations
Osamu Fujino, Jinsong Xu
We show the finiteness of log pluricanonical representations under the assumption of the existence of a good minimal model.