Properties of moderate toric resolutions in dimension three

抄録

We study moderate toric resolutions introduced by Chávez-Martínez, Duarte and Yasuda, which appears in the relation between F-blowups and essential divisors. In particular, we address the problems, when it exists, and if it is the case, what properties it has in conjunction with the birational geometry and Hilbert basis resolutions, mainly in dimension three.