On a conjecture of Marton

• 成果类型: Article
• 署名作者: Gowers, W. T.; Green, Ben; Manners, Freddie; Tao, Terence
• 署名单位: Universite PSL; College de France; University of Cambridge; University of Oxford; University of California System; University of California San Diego; University of California System; University of California Los Angeles
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X; 1939-8980
• DOI: 10.4007/annals.2025.201.2.5
• 发表日期: 2025-03
• 页码: 515-549
• 关键词: sumsets; doubling; Freiman's theorem; additive combinatorics; FREIMANS THEOREM; set; EQUIVALENCE; sumset

摘要

We prove a conjecture of K. Marton, widely known as the polynomial Freiman-Ruzsa conjecture, in characteristic 2. The argument extends to odd characteristic, with details to follow in a subsequent paper.