Nash modification on toric surfaces

DOI10.1007/s13398-012-0104-4zbMath1307.14070arXiv1110.4346OpenAlexW2011142621MaRDI QIDQ742209

Daniel C. S. Duarte

Publication date: 18 September 2014

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.4346

zbMATH Keywords

uniformizationvaluationcombinatorial algorithmtoric surfaceNash modification

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Singularities of surfaces or higher-dimensional varieties (14J17) Valuation rings (13F30)

Related Items (9)

Nash blowups in prime characteristic ⋮ A higher-order tangent map and a conjecture on the higher Nash blowup of curves ⋮ A Nobile-like theorem for jet schemes of hypersurfaces ⋮ Factorization of the normalization of the Nash blowup of order \(n\) of \(\mathcal{A}_n\) by the minimal resolution ⋮ Nash Modification on Toric Curves ⋮ On the zero locus of ideals defining the Nash blowup of toric surfaces ⋮ Toric geometry and the Semple-Nash modification ⋮ Higher Nash blowups of normal toric varieties in prime characteristic ⋮ Resolution of Singularities: An Introduction

Cites Work

• Toric geometry and the Semple-Nash modification
• Résolution de Nash des points doubles rationnels
• Some properties of the Nash blowingup
• The Denef-Loeser series for toric surface singularities
• Sandwiched singularities and desingularization of surfaces by normalized Nash transformations
• Resolving Toric Varieties with Nash Blowups
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