scientific article; zbMATH DE number 7596699

zbMath1504.14027MaRDI QIDQ5043654

Jesús Palma-Márquez

Publication date: 6 October 2022

Full work available at URL: http://www.mathjournals.org/mmj/2022-022-003/2022-022-003-007.html

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zbMATH Keywords

Newton polyhedrongeneralized power seriescombinatorial blowing-up morphismcombinatorial monomializationgeneralized analytic manifoldslinear representation of quivers

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) Quasi-analytic and other classes of functions of one complex variable (30D60) Real-analytic manifolds, real-analytic spaces (32C05)

Related Items (1)

Stratified reduction of singularities of generalized analytic functions

Cites Work

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• Multivariable Newton-Puiseux theorem for generalised quasianalytic classes
• Resolution of singularities of real-analytic vector fields in dimension three
• Semianalytic and subanalytic sets
• Local monomialization of generalized analytic functions
• Resolution of singularities of an algebraic variety over a field of characteristic zero. II
• Transition maps at non-resonant hyperbolic singularities are o-minimal
• The real field with convergent generalized power series
• Quasianalytic Denjoy-Carleman classes and o-minimality
• Complex Analytic Desingularization
• Quantifier elimination and rectilinearization theorem for generalized quasianalytic algebras

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