Towards finite generation of higher rational rank valuations

DOI10.1070/SM9448zbMath1480.14003arXiv2010.15093OpenAlexW3097148380MaRDI QIDQ4988809

Chen Yang Xu

Publication date: 19 May 2021

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.15093

zbMATH Keywords

volumevaluationsfinite generationlog canonical singularities

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (4)

The existence of the Kähler–Ricci soliton degeneration ⋮ Finite generation for valuations computing stability thresholds and applications to K-stability ⋮ K-stability of Fano varieties: an algebro-geometric approach ⋮ On properness of K-moduli spaces and optimal degenerations of Fano varieties

Cites Work

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• Stability of valuations: higher rational rank
• Stability of valuations and Kollár components
• Minimizing normalized volumes of valuations
• A minimizing valuation is quasi-monomial
• Uniqueness of \(\mathrm{K}\)-polystable degenerations of Fano varieties
• Existence of minimal models for varieties of log general type
• On Finite and Nonfinite Generation of Associated Graded Rings of Abhyankar Valuations
• The dual complex of singularities
• Introduction
• Overweight deformations of affine toric varieties and local uniformization

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