4 papers
math.AG2023
Local delta invariants of weak del Pezzo surfaces with the anti-canonical degree
Hiroto Akaike
The delta invariant interprets the criterion for the K-(poly)stability of log terminal Fano varieties. In this paper, we determine the whole local delta invariant for all weak del…
math.AG2022
Bounds for the order of automorphism groups of cyclic covering fibrations of an elliptic surface
Hiroto Akaike
We study automorphism groups of fibered surfaces for finite cyclic covering fibrations of an elliptic surface. We estimate the order of a finite subgroup of automorphism groups in…
math.AG2020
Bounds for the order of automorphism groups of cyclic covering fibrations of a ruled surface
Hiroto Akaike
We study the order of automorphism groups of cyclic covering fibrations of a ruled surface. Arakawa and later Chen studied it for hyperelliptic fibrations and gave the upper bound.…
math.AG2019
Slope inequalities for irregular cyclic covering fibrations
Hiroto Akaike
Let be a finite cyclic covering fibration of a fibered surface. We study the lower bound of slope when the relative irregularity is positive.