Nagata's compactification theorem for normal toric varieties over a valuation ring of rank one

DOI10.1307/mmj/1508983384zbMath1401.14213arXiv1608.02815OpenAlexW2963803745MaRDI QIDQ1990488

Alejandro Soto

Publication date: 25 October 2018

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.02815

zbMATH Keywords

toric varietiesvaluation ringstoric schemes

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Valuation rings (13F30)

Cites Work

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• Completions of fans
• Toroidal embeddings. I
• Completion of real fans and Zariski-Riemann spaces
• Equivariant completion. II
• Equivariant completion
• Foundations of rigid geometry. I
• Classification of normal toric varieties over a valuation ring of rank one
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• A guide to tropicalizations

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