Tatsuki Yamaguchi

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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 $F$ -pure thresholds. We obtain some necessary con…

math.AC2024

$F$ -pure and $F$ -injective singularities in equal characteristic zero

Tatsuki Yamaguchi

Inspired by Schoutens' results, we introduce a variant of sharp $F$ -purity and sharp $F$ -injectivity in equal characteristic zero via ultraproducts. As an application, we show that…

BCM-regularity of diagonal hypersurfaces and plus-pure thresholds in mixed characteristic

F-pure and F-injective singularities in equal characteristic zero

$F$ -pure and $F$ -injective singularities in equal characteristic zero