Galois actions on analytifications and tropicalizations

DOI10.1112/jlms.12241zbMath1440.14281arXiv1703.07593OpenAlexW3100245227WikidataQ127716737 ScholiaQ127716737MaRDI QIDQ5217911

Tyler Foster

Publication date: 26 February 2020

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.07593

Mathematics Subject Classification ID

Rigid analytic geometry (14G22) Relations with algebraic geometry and topology (11F23) Arithmetic aspects of tropical varieties (14T25)

Cites Work

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• Twisted forms of toric varieties
• Tropical analytic geometry, Newton polygons, and tropical intersections
• Limits of tropicalizations
• Analytification is the limit of all tropicalizations
• Counting curves via lattice paths in polygons
• Lifting tropical intersections
• Groupes reductifs
• Toward a numerical theory of ampleness
• Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili
• A guide to tropicalizations
• Lifting nonproper tropical intersections
• Cox Rings
• Cox rings and combinatorics
• Cox rings and combinatorics II
• Enumerative tropical algebraic geometry in ℝ²
• Galois Groups and Fundamental Groups
• Arithmetic toric varieties
• Categories and Sheaves
• Valued Fields

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