3 papers
math.AG2025
Stable rationality of hypersurfaces in schön affine varieties
Taro Yoshino
In recent years, there has been a development in approaching rationality problems through the motivic methods (cf. [Kontsevich--Tschinkel'19], [Nicaise--Shinder'19], [Nicaise--Otte…
math.AG2024
Stable rationality of hypersurfaces of mock toric variety II
Taro Yoshino
In recent years, there has been a development in approaching rationality problems through motivic methods (cf. [Kontsevich--Tschinkel'19], [Nicaise--Shinder'19], [Nicaise--Ottem'21…
math.AG2024
Stable rationality of hypersurfaces of mock toric variety I
Taro Yoshino
We introduce a mock toric variety, a generalization of a toric variety. For a non-toric example, Del-Pezzo surfaces are mock toric varieties. These new varieties inherit some prope…