5 papers
Nets of quadric surfaces and plane cubics and their GIT stability
Masafumi Hattori, Theodoros Stylianos Papazachariou, Aline Zanardini
A general net of quadric surfaces, together with a choice of a base point, defines a net of plane cubics via the Gale transformation of the remaining seven base points. To both net…
On positivity of CM line bundles on the moduli space of klt good minimal models with
Masafumi Hattori
We study the positivity of CM line bundles on the coarse moduli space of Kawamata log terminal (klt) good minimal models with Kodaira dimension one. We prove that the seminormaliza…
Normal stable degenerations of Noether-Horikawa surfaces
Hiroto Akaike, Makoto Enokizono, Masafumi Hattori +1
We classify all normal stable Horikawa surfaces with only -Gorenstein smoothable log canonical singularities. Furthermore, we provide a criterion for their global $\mat…
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…
Special K-stability and positivity of CM line bundles
Masafumi Hattori
We show that the CM line bundle on a proper family parametrizing specially K-stable varieties with maximal variation is ample. As an application, we show projectivity of any proper…