Spherical tropicalization and Berkovich analytification

DOI10.1007/s00209-023-03241-6OpenAlexW4323545097MaRDI QIDQ2697511

Desmond Coles

Publication date: 12 April 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.09964

zbMATH Keywords

algebraic geometrytropicalizationspherical varietyBerkovich analytification

Mathematics Subject Classification ID

Linear algebraic groups and related topics (20Gxx) Birational geometry (14Exx) Special varieties (14Mxx)

Cites Work

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• Valuations des espaces homogènes sphériques. (Valuations of spherical homogeneous spaces)
• Homogeneous spaces and equivariant embeddings
• On the geometry of spherical varieties
• Plongements d'espaces homogènes
• Analytification is the limit of all tropicalizations
• Espaces homogènes sphériques. (Spherical homogeneous spaces)
• Equivariant completion
• Spherical varieties with the \(A_k\)-property
• Spherical tropicalization
• Global spherical tropicalization via toric embeddings
• Gröbner theory and tropical geometry on spherical varieties
• Toroidal geometry and non-archimedean analytic geometry. Application to the homotopy type of certain formal schemes
• Introduction to Toric Varieties. (AM-131)
• Théorie de Fredholm $p$-adique

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