2 papers
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…
math.AG2024
Minimization of Arakelov K-energy for many cases
Masafumi Hattori, Yuji Odaka
We prove that for various polarized varieties over , which broadly includes K-trivial case, K-ample case, Fano case, minimal models, certain classes of fibra…