8 citations · 10 across the 4 of their papers we have counts for
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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…
Minimizing CM degree and specially K-stable varieties
Masafumi Hattori
We prove that the degree of the CM line bundle for a normal family over a curve with fixed general fibers is strictly minimized if the special fiber is either a smooth projective m…
On fibration stability after Dervan-Sektnan and singularities
Masafumi Hattori
We introduce -stability, a modification of fibration stability of Dervan-Sektnan [12], and show that -semistable fibrations have only semi log canonical…
A decomposition formula for J-stability and its applications
Masafumi Hattori
For algebro-geometric study of J-stability, a variant of K-stability, we prove a decomposition formula of non-archimedean -energy of -dimensional varieties into …