The Dual $F$-Signature of Veronese Rings

TL;DR

This paper investigates the dual F-signature of Veronese subrings of polynomial rings, providing new insights into their algebraic properties using commutative algebra techniques.

Contribution

It addresses an open question about the dual F-signature of Veronese rings, offering novel results and methods in the context of positive characteristic algebra.

Findings

Determined the dual F-signature for Veronese rings

Extended understanding of F-signature in algebraic geometry

Provided new techniques for analyzing subrings

Abstract

In this paper we adress the question of I. Smirnov and K. Tucker on the dual $F$-signature of the Veronese subrings of polynomial rings in $n$ variables using methods of commutative algebra.