RT Book, Section
T1 On ν-quasi-ordinary power series: factorization, Newton trees and resultants
A1 Artal Bartolo, Enrique
A1 Cassou-Noguès, Pierrette
A1 Luengo Velasco, Ignacio
A1 Melle Hernández, Alejandro
A2 Cogolludo Agustín, José Ignacio
A2 Hironaka, Eriko
AB The concept of ν-quasi-ordinary power series, which is a generalization of quasi-ordinary power series, was first introduced by H. Hironaka. In the paper under review, the authors study ν-quasi-ordinary power series and give a factorization theorem for ν-quasi-ordinary power series in the first part. The proof of the theorem uses Newton maps. In the second part of the paper, using the factorization theorem, they introduce the Newton tree to encode the Newton process for any hypersurface singularity defined by a power series germ as in Notation 1.1. Finally, the authors describe a condition for two ν-quasi-ordinary power series to have an "intersection multiplicity " by using Newton trees and they can also compute this generalized intersection multiplicity, resultants and discriminant.
PB American Mathematical Society
SN 978-0-8218-4890-6
YR 2011
FD 2011
LK https://hdl.handle.net/20.500.14352/45438
UL https://hdl.handle.net/20.500.14352/45438
LA eng
NO Papers from the Conference on Topology of Algebraic Varieties, in honor of Anatoly Libgober's 60th birthday, held in Jaca, June 22–26, 2009
NO MTM
NO MTM
DS Docta Complutense
RD 4 abr 2025