Generalized Newton-Puiseux Theory and Hensel's Lemma in C[[x, y]]

DOI10.4153/CJM-1989-048-7zbMath0716.13015WikidataQ124806309 ScholiaQ124806309MaRDI QIDQ3203125

Tzee-Char Kuo

Publication date: 1989

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Newton polygonHensel's lemmaNewton-Puiseux algorithmirreducible curve germs

Mathematics Subject Classification ID

Germs of analytic sets, local parametrization (32B10) Singularities of curves, local rings (14H20) Formal power series rings (13F25)

Related Items (10)

Valuations in algebraic field extensions ⋮ Bivariate factorization using a critical fiber ⋮ Approximate roots of a valuation and the Pierce-Birkhoff conjecture ⋮ Polynomial root finding over local rings and application to error correcting codes ⋮ An approach to plane algebroid branches ⋮ Characterization of Jacobian Newton polygons of plane branches and new criteria of irreducibility ⋮ Constructing blow-analytic isomorphisms ⋮ On the extended Hensel construction and its application to the computation of real limit points ⋮ Singularities of plane algebraic curves ⋮ Approximated roots, generating sequences, sufficiency of jets

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