ν-QUASI-ORDINARY POWER SERIES: FACTORISATION, NEWTON TREES AND RESULTANTS
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en
Chapitre d'ouvrage
Este ítem está publicado en
Topology of algebraic varieties and singularities, Topology of algebraic varieties and singularities. 2011p. 321-343
AMS, Providence, RI
Resumen en inglés
A generalization of quasi-ordinary power series is studied. This class, called ν-quasi-ordinary, was introduced by H. Hironaka and iy is defined by a very mild condition on its (projected) Newton polygon. I. Luengo used ...Leer más >
A generalization of quasi-ordinary power series is studied. This class, called ν-quasi-ordinary, was introduced by H. Hironaka and iy is defined by a very mild condition on its (projected) Newton polygon. I. Luengo used ν- quasiordinary power series to give a proof of the Jung-Abhyankar theorem for quasiordinary power series. In this paper, a factorization theorem for ν-quasi- ordinary power series is given. Using the factorizacion theorem we codify ν-quasiordinary power series by its Newton tree, and we use it to compute the generalized intersection multiplicity of two ν-quasiordinary power series, resultant and discriminant.< Leer menos
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