Abstract

Hibi rings are a kind of graded toric ring on a finite distributive lattice D = J(P), where P is a partially ordered set. In this paper, we compute diagonal F-thresholds and F-pure thresholds of Hibi rings and give a characterization of Hibi rings which satisfy the equality between these invariants in terms of its trivialness in the sense of Herzog–Hibi–Restuccia.

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