3 papers
math.AC2026
BCM-regularity of diagonal hypersurfaces and plus-pure thresholds in mixed characteristic
Tatsuki Yamaguchi
We introduce a new method for computing plus-pure thresholds, a mixed-characteristic analogue of both log canonical thresholds and -pure thresholds. We obtain some necessary con…
math.AG2025
On the uniform positivity of -signature under reduction modulo
Shunsuke Takagi, Tatsuki Yamaguchi
Carvajal-Rojas, Schwede and Tucker asked whether the mod reductions of a complex klt type singularity have uniformly positive -signature for almost all primes . In this p…
math.AG2025
Ultra-test ideals in rings with finitely generated anti-canonical algebras
Tatsuki Yamaguchi
When anti-canonical rings are finitely generated, we give a characterization of adjoint ideals using ultra-Frobenii, a characteristic zero analogue of Frobenius morphisms. This cha…