activity
20242026
collaborators

6 papers

math.AG2026

Addendum: On generalized canonical bundle formula and boundedness of complements in complex analytic setting

Kenta Hashizume

We establish the generalized canonical bundle formula for generalized lc-trivial fibrations without the assumption on the nef part in the complex analytic setting. We also record t…

math.AG2026

On generalized canonical bundle formula and boundedness of complements in complex analytic setting

Kenta Hashizume

We establish the generalized canonical bundle formula for generalized lc-trivial fibrations with irrational coefficients over non-compact bases in the complex analytic setting, and…

math.AG2025

Minimal model program for log canonical pairs on complex analytic spaces

Makoto Enokizono, Kenta Hashizume

We study the minimal model program for lc pairs on projective morphism between complex analytic spaces. More precisely, we generalize the results by Birkar and the second author to…

math.AG2025

On termination of minimal model program for log canonical pairs on complex analytic spaces

Makoto Enokizono, Kenta Hashizume

We study the termination of minimal model programs for log canonical pairs in the complex analytic setting. By using the termination, we prove a relation between the minimal model…

math.AG2025

Minimal model program for normal pairs along log canonical locus in complex analytic setting

Kenta Hashizume

We establish the minimal model theory for normal pairs along log canonical locus in the complex analytic setting. This is the complex analytic analog of the previous result by the…

math.AG2024

Semistable reduction for complex analytic spaces

Makoto Enokizono, Kenta Hashizume

Semistable reduction theorem for projective morphisms in the category of complex analytic spaces is established.