# The Frobenius complexity of Hibi rings

## TL;DR

This paper investigates the Frobenius complexity of Hibi rings in positive characteristic, focusing on a specific class called -level, and computes its limit as the characteristic grows large.

## Contribution

It introduces the -level class of Hibi rings and provides the first computation of Frobenius complexity limits for this class as the characteristic tends to infinity.

## Key findings

- Frobenius complexity limit computed for -level Hibi rings
- Identification of -level rings as a key class for complexity analysis
- Asymptotic behavior of Frobenius complexity as p 

## 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 $p \rightarrow \infty$.