Strongly minimal group relics of algebraically closed valued fields

2024/01/26 by Onshuus, Alf, Hasson, Assaf, Pinzon, Santiago
#FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.2401.14618

Abstract

We prove Zilber's trichotomy for reducts of ACVF expanding (K,+) or (K^*, ⋅).

Related

• Zilber's Trichotomy in Hausdorff Geometric Structures
• Strongly Minimal Relics of T-convex Fields
• Strongly minimal groups in o-minimal structures
• The O-minimal Zilber Conjecture in Higher Dimensions
• Strongly minimal reducts of ACVF