On Freiman's Theorem in a function field setting

2024/05/17 by Wessel, Mieke
#Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2405.10724

Abstract

We prove some new instances of a conjecture of Bachoc, Couvreur and Zémor that generalizes Freiman's 3k-4 Theorem to a multiplicative version in a function field setting. As a consequence we find that if F is a rational function field over an algebraically closed field K and S ⊂ F a finite dimensional K-vector space such that dim S² = 2dim S + 1, then the conjecture holds.

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