Nash resolution for binomial varieties as Euclidean division. A priori termination bound, polynomial complexity in essential dimension 2

DOI10.1016/j.aim.2012.08.009zbMath1287.14004OpenAlexW2027646475MaRDI QIDQ1759381

Pierre D. Milman, Dima Yu. Grigoriev

Publication date: 20 November 2012

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

Full work available at URL: https://doi.org/10.1016/j.aim.2012.08.009

zbMATH Keywords

polynomial complexity desingularization a priori bound binomial varieties multidimensional Euclidean algorithm Nash blowings up

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Combinatorial complexity of geometric structures (52C45)

Related Items (12)

Parametric toricity of steady state varieties of reaction networks ⋮ Nash blowups in prime characteristic ⋮ A higher-order tangent map and a conjecture on the higher Nash blowup of curves ⋮ Higher Nash blowup on normal toric varieties ⋮ 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 ⋮ Smooth parametrizations in dynamics, analysis, diophantine and computational geometry ⋮ On the zero locus of ideals defining the Nash blowup of toric surfaces ⋮ Efficiently and effectively recognizing toricity of steady state varieties ⋮ Higher Nash blowups of normal toric varieties in prime characteristic ⋮ Resolution of Singularities: An Introduction

Cites Work

This page was built for publication: Nash resolution for binomial varieties as Euclidean division. A priori termination bound, polynomial complexity in essential dimension 2