3 citations · 9 across the 15 of their papers we have counts for
18 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…
Vanishing theorems and adjoint linear systems on normal surfaces in positive characteristic
Makoto Enokizono
We prove the Kawamata-Viehweg vanishing theorem for a large class of divisors on surfaces in positive characteristic. By using this vanishing theorem, Reider-type theorems and exte…
An integral version of Zariski decompositions on normal surfaces
Makoto Enokizono
We show that any pseudo-effective divisor on a normal surface decomposes uniquely into its "integral positive" part and "integral negative" part, which is an integral analog of Zar…
An additive basis for the cohomology rings of regular nilpotent Hessenberg varieties
Makoto Enokizono, Tatsuya Horiguchi, Takahiro Nagaoka +1
In this paper we construct an additive basis for the cohomology ring of a regular nilpotent Hessenberg variety which is obtained by extending all Poincaré duals of smaller regular…
Uniform bases for ideal arrangements
Makoto Enokizono, Tatsuya Horiguchi, Takahiro Nagaoka +1
In this paper we introduce and study uniform bases for the ideal arrangements in all Lie types. Explicit uniform bases are given by Abe-Horiguchi-Masuda-Murai-Sato for types $A,B,C…
Durfee-type inequality for complete intersection surface singularities
Makoto Enokizono
We prove that the signature of the Milnor fiber of smoothings of a -dimensional isolated complete intersection singularity does not exceed the negative number determined by the…
Slope equality of non-hyperelliptic Eisenbud--Harris special fibrations of genus
Makoto Enokizono
The Horikawa index and the local signature are introduced for relatively minimal fibered surfaces whose general fiber is a non-hyperelliptic curve of genus with unique trigonal…
Strange examples of local signatures for fibered surfaces of small genus
Makoto Enokizono
We give examples of local signatures, completely different from the usual ones, for general fibrations of genus and genus .
Durfee-type inequality for hypersurface surface singularities
Makoto Enokizono
We prove a "strong" Durfee-type inequality for isolated hypersurface surface singularities, which implies Durfee's strong conjecture for such singularities with non-negative topolo…
Slope equality of plane curve fibrations and its application to Durfee's conjecture
Makoto Enokizono
We give a slope equality for fibered surfaces whose general fiber is a smooth plane curve. As a corollary, we prove a "strong" Durfee-type inequality for isolated hypersurface surf…
Upper bounds on the slope of certain fibered surfaces
Makoto Enokizono
We establish the slope equality and give an upper bound of the slope for finite cyclic covering fibrations of an elliptic surface including bielliptic fibrations of genus greater t…
Fibers of Cyclic Covering Fibrations of a Ruled Surface
Makoto Enokizono
We give an algorithm to classify singular fibers of finite cyclic covering fibrations of a ruled surface by using singularity diagrams. As the first application, we classify all fi…
Slopes of Fibered Surfaces with a Finite Cyclic Automorphism
Makoto Enokizono
We study slopes of finite cyclic covering fibrations of a fibered surface. We give the best possible lower bound of the slope of these fibrations. We also give the slope equality o…