2 papers
math.AG2026
A construction of smooth varieties admitting small contractions
Yuto Masamura, Tomoki Yoshida
Given a smooth variety together with two smooth subvarieties, we construct, via two successive blowups, smooth varieties admitting small contractions. This generalizes Kawamata's e…
math.AG2025
Relations between indices of Calabi--Yau varieties and pairs
Yuto Masamura
We show that for any smooth Calabi--Yau variety, its index can be realized as the index of a Kawamata log terminal (klt) Calabi--Yau pair of lower dimension with standard coefficie…