Resolving Toric Varieties with Nash Blowups

DOI10.1080/10586458.2011.565238zbMath1266.14039arXiv0910.5028OpenAlexW2103899294MaRDI QIDQ4915393

Alexander Perry, Nicholas J. Proudfoot, Michael Thaddeus, Christopher Lopez, Atanas Z. Atanasov

Publication date: 10 April 2013

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

Full work available at URL: https://arxiv.org/abs/0910.5028

zbMATH Keywords

toric varietiesresolution of singularitiesNash blowups

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Computational aspects of algebraic surfaces (14Q10) Computational aspects of higher-dimensional varieties (14Q15) Global theory and resolution of singularities (algebro-geometric aspects) (14E15)

Related Items (10)

Nash blowups in prime characteristic ⋮ A higher-order tangent map and a conjecture on the higher Nash blowup of curves ⋮ Local Euler obstructions of toric varieties ⋮ 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 ⋮ Nash modification on toric surfaces ⋮ Higher Nash blowups of normal toric varieties in prime characteristic ⋮ Resolution of Singularities: An Introduction

Cites Work

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• Some properties of the Nash blowingup
• Sandwiched singularities and desingularization of surfaces by normalized Nash transformations
• Introduction to Toric Varieties. (AM-131)
• The 3x + 1 Problem and Its Generalizations

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