The Galois action on geometric lattices and the mod- I/OM

• 成果类型: Article
• 署名作者: Topaz, Adam
• 署名单位: University of Oxford
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-018-0792-2
• 发表日期: 2018
• 页码: 371-459
• 关键词: representations; FIELDS

摘要

This paper studies the Galois action on a special lattice of geometric origin, which is related to mod- abelian-by-central quotients of geometric fundamental groups of varieties. As a consequence, we formulate and prove the mod- abelian-by-central variant/strengthening of a conjecture due to Ihara/Oda-Matsumoto.