The Frobenius complexity of Hibi rings

Abstract

We study the Frobenius complexity of Hibi rings over fields of characteristic $p>0$. In particular, for a certain class of Hibi rings (which we call ${\omega }^{(-1)}$-level), we compute the limit of the Frobenius complexity as $p\to \infty$.

minor edits, to appear in Journal of Pure and Applied Algebra

References in corpus (1)

• Frobenius Splitting in Commutative Algebra

Cited by in corpus (5)

• Symbolic analytic spread: upper bounds and applications
• Measuring the non-Gorenstein locus of Hibi rings and normal affine semigroup rings
• Fiber cones, analytic spreads of the canonical and anticanonical ideals and limit Frobenius complexity of Hibi rings
• Non-Gorenstein loci of Ehrhart rings of chain and order polytopes
• On the canonical ideal of the Ehrhart ring of the chain polytope of a poset