Top
Back: goodBasis
Forward: hnexpansion
FastBack: gmspoly_lib
FastForward: mondromy_lib
Up: Singularities
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document

D.5.6 hnoether_lib

Library:
hnoether.lib
Purpose:
Hamburger-Noether (Puiseux) Expansion
Authors:
Martin Lamm, lamm@mathematik.uni-kl.de
Christoph Lossen, lossen@mathematik.uni-kl.de

Overview:
A library for computing the Hamburger-Noether expansion (analogue of Puiseux expansion over fields of arbitrary characteristic) of a reduced plane curve singularity following [Campillo, A.: Algebroid curves in positive characteristic, Springer LNM 813 (1980)].
The library contains also procedures for computing the (topological) numerical invariants of plane curve singularities.

Main procedures:

D.5.6.1 hnexpansion  Hamburger-Noether (HN) expansion of f
D.5.6.2 develop  HN expansion of irreducible plane curve germs
D.5.6.3 extdevelop  extension of the H-N expansion hne of f
D.5.6.4 param  parametrization of branches described by HN data
D.5.6.5 displayHNE  display HN expansion as an ideal
D.5.6.6 invariants  invariants of f, e.g. the characteristic exponents
D.5.6.7 displayInvariants  display invariants of f
D.5.6.8 multsequence  sequence of multiplicities
D.5.6.9 displayMultsequence  display sequence of multiplicities
D.5.6.10 intersection  intersection multiplicity of two local branches
D.5.6.11 is_irred  test whether f is irreducible as power series
D.5.6.12 delta  delta invariant of f
D.5.6.13 newtonpoly  (local) Newton polygon of f
D.5.6.14 is_NND  test whether f is Newton non-degenerate
Auxiliary procedures:
D.5.6.15 stripHNE  reduce amount of memory consumed by hne
D.5.6.16 puiseux2generators  convert Puiseux pairs to generators of semigroup
D.5.6.17 separateHNE  number of quadratic transf. needed for separation
D.5.6.18 squarefree  a squarefree divisor of the poly f
D.5.6.19 allsquarefree  the maximal squarefree divisor of the poly f
D.5.6.20 further_hn_proc  show further procedures useful for interactive use


Top Back: goodBasis Forward: hnexpansion FastBack: gmspoly_lib FastForward: mondromy_lib Up: Singularities Top: Singular Manual Contents: Table of Contents Index: Index About: About this document
            User manual for Singular version 3-0-1, October 2005, generated by texi2html.