An irreducibility criterion for power series

DOI10.1090/proc/13635zbMath1375.13027arXiv1605.05577OpenAlexW2962723406MaRDI QIDQ5354470

Guillaume Rond, Bernd Schober

Publication date: 4 September 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.05577

zbMATH Keywords

polynomialspower seriesHensel's lemma

Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) Complex surface and hypersurface singularities (32S25) Formal power series rings (13F25)

Related Items (1)

Loose edges and factorization theorems

Cites Work

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• Newton process and semigroups of irreducible quasi-ordinary power series
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• Quasi-Ordinary Singularities: Tree Model, Discriminant, and Irreducibility
• Decomposition in bunches of the critical locus of a quasi-ordinary map
• A polyhedral characterization of quasi-ordinary singularities
• Irreducibility Criterion For Quasi-Ordinary Polynomials
• Quasi-ordinary singularities and Newton trees

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