Dynamic Newton-Puiseux Theorem

Bassel Mannaa, Thierry Coquand

Research output: Journal Article or Conference Article in JournalJournal articleResearchpeer-review


A constructive version of Newton-Puiseux theorem for computing the Puiseux expansions of algebraic curves is presented. The proof is based on a classical proof by Abhyankar. Algebraic numbers are evaluated dynamically; hence the base field need not be algebraically closed and a factorization algorithm of polynomials over the base field is not needed. The extensions obtained are a type of regular algebras over the base field and the expansions are given as formal power series over these algebras.
Original languageUndefined/Unknown
JournalJ. Log. Anal.
Publication statusPublished - 24 Apr 2013

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