3 papers
math.AG2026
K-moduli of quasimaps and on quasi-projectivity of moduli of K-stable Calabi-Yau fibrations over curves
Kenta Hashizume, Masafumi Hattori
We construct a projective K-moduli space of quasimaps with a certain log Fano condition, which is regarded as a rational map from to a projective space. Moreover, we…
math.AG2025
Minimal model program for normal pairs along log canonical locus
Kenta Hashizume
Let be a normal pair with a projective morphism and let be a relatively ample -divisor on . We prove the termination of some minimal model pro…
math.AG2024
On boundedness and moduli spaces of K-stable Calabi-Yau fibrations over curves
Kenta Hashizume, Masafumi Hattori
We show boundedness of polarized Calabi--Yau fibrations over curves only with fixed volumes of general fibers and Iitaka volumes. As its application, we construct a separated coars…