16 papers
Abundance theorem for log surfaces
Makoto Enokizono, Nao Moriyama
We establish the abundance theorem for log surfaces without assuming -factoriality or log canonicity.
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…
On termination of minimal model program for log canonical pairs on complex analytic spaces
Makoto Enokizono, Kenta Hashizume
We study the termination of minimal model programs for log canonical pairs in the complex analytic setting. By using the termination, we prove a relation between the minimal model…
Minimal model program for log canonical pairs on complex analytic spaces
Makoto Enokizono, Kenta Hashizume
We study the minimal model program for lc pairs on projective morphism between complex analytic spaces. More precisely, we generalize the results by Birkar and the second author to…
Semistable reduction for complex analytic spaces
Makoto Enokizono, Kenta Hashizume
Semistable reduction theorem for projective morphisms in the category of complex analytic spaces is established.
Slope inequality of fibered surfaces, Morsification conjecture and moduli of curves
Makoto Enokizono
Using the theory of moduli of curves, we establish various slope inequalities for general fibered surfaces. More precisely, we introduce the notion of functorial divisors on Artin…