8 citations · 12 across the 7 of their papers we have counts for
5 papers · 1 filter
On the GIT stability of linear systems of hypersurfaces in projective space
Masafumi Hattori, Aline Zanardini
We consider the problem of classifying linear systems of hypersurfaces (of a fixed degree) in some projective space up to projective equivalence via geometric invariant theory (GIT…
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…
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…
On K-stability of Calabi-Yau fibrations
Masafumi Hattori
We show that Calabi-Yau fibrations over curves are uniformly K-stable in an adiabatic sense if and only if the base curves are K-stable in the log-twisted sense. Moreover, we prove…
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…